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

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


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

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

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

Multiply (-2 + 9x) * (7 + 8x)
(-2(7 + 8x) + 9x * (7 + 8x)) = 0
((7 * -2 + 8x * -2) + 9x * (7 + 8x)) = 0
((-14 + -16x) + 9x * (7 + 8x)) = 0
(-14 + -16x + (7 * 9x + 8x * 9x)) = 0
(-14 + -16x + (63x + 72x2)) = 0

Combine like terms: -16x + 63x = 47x
(-14 + 47x + 72x2) = 0

Solving
-14 + 47x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -8x)(2 + -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 '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

Solving
2 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -9x = 0 + -2
-9x = 0 + -2

Combine like terms: 0 + -2 = -2
-9x = -2

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {-0.875, 0.2222222222}

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