Question

Solve each equation. $5 n^{2}=-6 n$

   Solve each equation.
$5 n^{2}=-6 n$

Beginning and Intermediate Algebra

Beginning and Intermediate Algebra

Sherri Messersmith 3rd Edition

Chapter 11, Problem 14

Instant Answer

Solved by Expert Ashley Volpe

06/25/2020

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We can rewrite the equation as $5n^2 + 6n = 0$. Show more…

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Solve each equation. $5 n^{2}=-6 n$

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Key Concepts

Zero Product Property

The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be zero. This principle is crucial in solving factored equations, as it permits the setting of each factor equal to zero and solving for the unknown variable.

Factoring

Factoring involves rewriting a polynomial as a product of simpler polynomials or factors. In solving quadratic equations, factoring is used to break the equation into two or more expressions whose product is zero, thereby simplifying the process of finding the roots.

Quadratic Equations

A quadratic equation is a second-degree polynomial equation typically written in the form ax² + bx + c = 0. Understanding this form allows one to identify and apply appropriate solving strategies such as factoring, completing the square, or the quadratic formula.

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