(7x-8)(9x+7)=0

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Solution for (7x-8)(9x+7)=0 equation:


Simplifying
(7x + -8)(9x + 7) = 0

Reorder the terms:
(-8 + 7x)(9x + 7) = 0

Reorder the terms:
(-8 + 7x)(7 + 9x) = 0

Multiply (-8 + 7x) * (7 + 9x)
(-8(7 + 9x) + 7x * (7 + 9x)) = 0
((7 * -8 + 9x * -8) + 7x * (7 + 9x)) = 0
((-56 + -72x) + 7x * (7 + 9x)) = 0
(-56 + -72x + (7 * 7x + 9x * 7x)) = 0
(-56 + -72x + (49x + 63x2)) = 0

Combine like terms: -72x + 49x = -23x
(-56 + -23x + 63x2) = 0

Solving
-56 + -23x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -9x)(8 + -7x) = 0

Subproblem 1

Set the factor '(-7 + -9x)' equal to zero and attempt to solve: Simplifying -7 + -9x = 0 Solving -7 + -9x = 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 + -9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9x = 0 + 7 -9x = 0 + 7 Combine like terms: 0 + 7 = 7 -9x = 7 Divide each side by '-9'. x = -0.7777777778 Simplifying x = -0.7777777778

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 = {-0.7777777778, 1.142857143}

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