(8x-7)(x+6)=0

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Solution for (8x-7)(x+6)=0 equation:


Simplifying
(8x + -7)(x + 6) = 0

Reorder the terms:
(-7 + 8x)(x + 6) = 0

Reorder the terms:
(-7 + 8x)(6 + x) = 0

Multiply (-7 + 8x) * (6 + x)
(-7(6 + x) + 8x * (6 + x)) = 0
((6 * -7 + x * -7) + 8x * (6 + x)) = 0
((-42 + -7x) + 8x * (6 + x)) = 0
(-42 + -7x + (6 * 8x + x * 8x)) = 0
(-42 + -7x + (48x + 8x2)) = 0

Combine like terms: -7x + 48x = 41x
(-42 + 41x + 8x2) = 0

Solving
-42 + 41x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(7 + -8x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 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 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(7 + -8x)' equal to zero and attempt to solve: Simplifying 7 + -8x = 0 Solving 7 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 0 + -7 -8x = 0 + -7 Combine like terms: 0 + -7 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875

Solution

x = {-6, 0.875}

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