(8x+7)(9x-5)=0

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Solution for (8x+7)(9x-5)=0 equation:


Simplifying
(8x + 7)(9x + -5) = 0

Reorder the terms:
(7 + 8x)(9x + -5) = 0

Reorder the terms:
(7 + 8x)(-5 + 9x) = 0

Multiply (7 + 8x) * (-5 + 9x)
(7(-5 + 9x) + 8x * (-5 + 9x)) = 0
((-5 * 7 + 9x * 7) + 8x * (-5 + 9x)) = 0
((-35 + 63x) + 8x * (-5 + 9x)) = 0
(-35 + 63x + (-5 * 8x + 9x * 8x)) = 0
(-35 + 63x + (-40x + 72x2)) = 0

Combine like terms: 63x + -40x = 23x
(-35 + 23x + 72x2) = 0

Solving
-35 + 23x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -8x)(5 + -9x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 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 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556

Solution

x = {-0.875, 0.5555555556}

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