(8x-1)(9x+7)=0

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Solution for (8x-1)(9x+7)=0 equation: 


Simplifying
(8x + -1)(9x + 7) = 0

Reorder the terms:
(-1 + 8x)(9x + 7) = 0

Reorder the terms:
(-1 + 8x)(7 + 9x) = 0

Multiply (-1 + 8x) * (7 + 9x)
(-1(7 + 9x) + 8x * (7 + 9x)) = 0
((7 * -1 + 9x * -1) + 8x * (7 + 9x)) = 0
((-7 + -9x) + 8x * (7 + 9x)) = 0
(-7 + -9x + (7 * 8x + 9x * 8x)) = 0
(-7 + -9x + (56x + 72x2)) = 0

Combine like terms: -9x + 56x = 47x
(-7 + 47x + 72x2) = 0

Solving
-7 + 47x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -9x)(1 + -8x) = 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 '(1 + -8x)' equal to zero and attempt to solve:

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Solution
x = {-0.7777777778, 0.125}

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