(2x+7)(9x-8)=0

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Solution for (2x+7)(9x-8)=0 equation: 


Simplifying
(2x + 7)(9x + -8) = 0

Reorder the terms:
(7 + 2x)(9x + -8) = 0

Reorder the terms:
(7 + 2x)(-8 + 9x) = 0

Multiply (7 + 2x) * (-8 + 9x)
(7(-8 + 9x) + 2x * (-8 + 9x)) = 0
((-8 * 7 + 9x * 7) + 2x * (-8 + 9x)) = 0
((-56 + 63x) + 2x * (-8 + 9x)) = 0
(-56 + 63x + (-8 * 2x + 9x * 2x)) = 0
(-56 + 63x + (-16x + 18x2)) = 0

Combine like terms: 63x + -16x = 47x
(-56 + 47x + 18x2) = 0

Solving
-56 + 47x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(8 + -9x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
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
Solution
x = {-3.5, 0.8888888889}

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