(4x-7)(9x+8)=0

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Solution for (4x-7)(9x+8)=0 equation:


Simplifying
(4x + -7)(9x + 8) = 0

Reorder the terms:
(-7 + 4x)(9x + 8) = 0

Reorder the terms:
(-7 + 4x)(8 + 9x) = 0

Multiply (-7 + 4x) * (8 + 9x)
(-7(8 + 9x) + 4x * (8 + 9x)) = 0
((8 * -7 + 9x * -7) + 4x * (8 + 9x)) = 0
((-56 + -63x) + 4x * (8 + 9x)) = 0
(-56 + -63x + (8 * 4x + 9x * 4x)) = 0
(-56 + -63x + (32x + 36x2)) = 0

Combine like terms: -63x + 32x = -31x
(-56 + -31x + 36x2) = 0

Solving
-56 + -31x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -9x)(7 + -4x) = 0

Subproblem 1

Set the factor '(-8 + -9x)' equal to zero and attempt to solve: Simplifying -8 + -9x = 0 Solving -8 + -9x = 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 + -9x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -9x = 0 + 8 -9x = 0 + 8 Combine like terms: 0 + 8 = 8 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889

Subproblem 2

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {-0.8888888889, 1.75}

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