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Solve each of the following using factoring.

50x^(3)+125x^(2)-18 x-45=0

Solve each of the following using factoring. $\newline$ $50x^{3}+125x^{2}-18x-45=0$

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Evaluate integers raised to rational exponents

Full solution

Q. Solve each of the following using factoring.

\newline

50x^{3}+125x^{2}-18x-45=0

Factor GCF from groups: Step $1$ : Factor out the greatest common factor (GCF) from each group. $\newline$ First, group the terms: $(50x^3 + 125x^2) + (-18x - 45)$ . $\newline$ Factor out the GCF from each group: $\newline$ $50x^2(x + 2.5) - 9(2x + 5)$ .
Correct second group factorization: Step $2$ : Notice a mistake in the factorization of the second group. $\newline$ Correct factorization should be: $\newline$ $50x^2(x + 2.5) - 9(2x + 5)$ is incorrect. $\newline$ Correct to: $50x^2(x + 2.5) - 9(2x + 5)$ .

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