(9x-8)(4x-6)=0

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Solution for (9x-8)(4x-6)=0 equation: 


Simplifying
(9x + -8)(4x + -6) = 0

Reorder the terms:
(-8 + 9x)(4x + -6) = 0

Reorder the terms:
(-8 + 9x)(-6 + 4x) = 0

Multiply (-8 + 9x) * (-6 + 4x)
(-8(-6 + 4x) + 9x * (-6 + 4x)) = 0
((-6 * -8 + 4x * -8) + 9x * (-6 + 4x)) = 0
((48 + -32x) + 9x * (-6 + 4x)) = 0
(48 + -32x + (-6 * 9x + 4x * 9x)) = 0
(48 + -32x + (-54x + 36x2)) = 0

Combine like terms: -32x + -54x = -86x
(48 + -86x + 36x2) = 0

Solving
48 + -86x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -43x + 18x2) = 0

Factor a trinomial.
2((8 + -9x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.8888888889, 1.5}

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