(-3x+8)(9x-7)=0

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Solution for (-3x+8)(9x-7)=0 equation: 


Simplifying
(-3x + 8)(9x + -7) = 0

Reorder the terms:
(8 + -3x)(9x + -7) = 0

Reorder the terms:
(8 + -3x)(-7 + 9x) = 0

Multiply (8 + -3x) * (-7 + 9x)
(8(-7 + 9x) + -3x * (-7 + 9x)) = 0
((-7 * 8 + 9x * 8) + -3x * (-7 + 9x)) = 0
((-56 + 72x) + -3x * (-7 + 9x)) = 0
(-56 + 72x + (-7 * -3x + 9x * -3x)) = 0
(-56 + 72x + (21x + -27x2)) = 0

Combine like terms: 72x + 21x = 93x
(-56 + 93x + -27x2) = 0

Solving
-56 + 93x + -27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + 3x)(7 + -9x) = 0


Subproblem 1
Set the factor '(-8 + 3x)' equal to zero and attempt to solve:

Simplifying
-8 + 3x = 0

Solving
-8 + 3x = 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 + 3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 0 + 8
3x = 0 + 8

Combine like terms: 0 + 8 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

Subproblem 2
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
Solution
x = {2.666666667, 0.7777777778}

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