(x-8)(5x+6)=0

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Solution for (x-8)(5x+6)=0 equation:


Simplifying
(x + -8)(5x + 6) = 0

Reorder the terms:
(-8 + x)(5x + 6) = 0

Reorder the terms:
(-8 + x)(6 + 5x) = 0

Multiply (-8 + x) * (6 + 5x)
(-8(6 + 5x) + x(6 + 5x)) = 0
((6 * -8 + 5x * -8) + x(6 + 5x)) = 0
((-48 + -40x) + x(6 + 5x)) = 0
(-48 + -40x + (6 * x + 5x * x)) = 0
(-48 + -40x + (6x + 5x2)) = 0

Combine like terms: -40x + 6x = -34x
(-48 + -34x + 5x2) = 0

Solving
-48 + -34x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -5x)(8 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-1.2, 8}

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