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

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


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

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

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

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

Combine like terms: -8x + 42x = 34x
(-48 + 34x + 7x2) = 0

Solving
-48 + 34x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(8 + -7x) = 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 '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143

Solution

x = {-6, 1.142857143}

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