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

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


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

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

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

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

Combine like terms: 48x + -5x = 43x
(-40 + 43x + 6x2) = 0

Solving
-40 + 43x + 6x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 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 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333

Solution

x = {-8, 0.8333333333}

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