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Write a sentence describing the first step you would take to solve each equation. Do not actually solve.$$\left(x^{2}+x\right)^{2}-8\left(x^{2}+x\right)+12=0$$

Substitute a variable for $x^{2}+x$

Precalculus

Algebra

Chapter 11

Quadratic Equations, Inequalities, and Functions

Section 4

Equations Quadratic in Form

Introduction to Conic Sections

Equations and Inequalities

Functions

Polynomials

McMaster University

Baylor University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:34

Concept Check Write a sent…

04:18

Solve each equation.$$…

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Solve each equation using …

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02:03

01:59

05:47

Solve each equation. See E…

02:13

Solve each equation.$x…

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00:29

01:01

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solve or simplify, whichev…

Okay, So we're only asked you what? Your good first step to solve this. So a good first step would be well to substituting something in. So it's a a variable four x squared plus X. Because if we just have this as a quite dramatic equation, we then know how to will solve a quite dry equation that's equal to zero. But right here, this X squared plus X right. Is anything forth? Let's say if we just let X squared plus X be equal to I don't know, a or something, Then we could district that as a basically some constant and that made Iran and call back and say, Well, that constant Israeli equal to export prospects. So a good first step would be to you, um, substitute substitute, Um, a variable four for the that the quantity x squared plus X. Yeah, And then we could basically just have a quadratic then, um, we can then Well, um festivity eight. And from there, just have a quadratic that we can use. Um, you know, methods that we know how the South quadratic. But so Okay, substituting some variables. Four x squared plus X. They're going to create just a regular quite right equation for us. Okay,

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