(8x-5)(x+2)=

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Solution for (8x-5)(x+2)= equation:


Simplifying
(8x + -5)(x + 2) = 0

Reorder the terms:
(-5 + 8x)(x + 2) = 0

Reorder the terms:
(-5 + 8x)(2 + x) = 0

Multiply (-5 + 8x) * (2 + x)
(-5(2 + x) + 8x * (2 + x)) = 0
((2 * -5 + x * -5) + 8x * (2 + x)) = 0
((-10 + -5x) + 8x * (2 + x)) = 0
(-10 + -5x + (2 * 8x + x * 8x)) = 0
(-10 + -5x + (16x + 8x2)) = 0

Combine like terms: -5x + 16x = 11x
(-10 + 11x + 8x2) = 0

Solving
-10 + 11x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(5 + -8x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625

Solution

x = {-2, 0.625}

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