(5x-8)(x+1)=0

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Solution for (5x-8)(x+1)=0 equation:


Simplifying
(5x + -8)(x + 1) = 0

Reorder the terms:
(-8 + 5x)(x + 1) = 0

Reorder the terms:
(-8 + 5x)(1 + x) = 0

Multiply (-8 + 5x) * (1 + x)
(-8(1 + x) + 5x * (1 + x)) = 0
((1 * -8 + x * -8) + 5x * (1 + x)) = 0
((-8 + -8x) + 5x * (1 + x)) = 0
(-8 + -8x + (1 * 5x + x * 5x)) = 0
(-8 + -8x + (5x + 5x2)) = 0

Combine like terms: -8x + 5x = -3x
(-8 + -3x + 5x2) = 0

Solving
-8 + -3x + 5x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Solution

x = {-1, 1.6}

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