Answer to Question #128912 in Algebra for Rex

Question #128912

Factor a 8x^2 - 6x - 5 = 0 quadratic equation.

Expert's answer

8x² - 6x - 5 = 0

8x² + 4x - 10x - 5 = 0

-6x= 4x - 10x We split the middle term -6x to 4x - 10x such that 4*(-10) = -40 which is the same as 8*(-5)=-40.

8x² + 4x - 10x - 5 = 0

4x (2x + 1) - 5 (2x + 1) = 0

(2x +1) ( 4x - 5)=0

The factors are (2x +1) and ( 4x - 5)

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