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

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


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

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

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

Multiply (-3 + 9x) * (-9 + 8x)
(-3(-9 + 8x) + 9x * (-9 + 8x)) = 0
((-9 * -3 + 8x * -3) + 9x * (-9 + 8x)) = 0
((27 + -24x) + 9x * (-9 + 8x)) = 0
(27 + -24x + (-9 * 9x + 8x * 9x)) = 0
(27 + -24x + (-81x + 72x2)) = 0

Combine like terms: -24x + -81x = -105x
(27 + -105x + 72x2) = 0

Solving
27 + -105x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + -35x + 24x2) = 0

Factor a trinomial.
3((1 + -3x)(9 + -8x)) = 0

Ignore the factor 3.

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve:

Simplifying
9 + -8x = 0

Solving
9 + -8x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 0 + -9
-8x = 0 + -9

Combine like terms: 0 + -9 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125
Solution
x = {0.3333333333, 1.125}

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