(9x-7)(4x-6)=

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Solution for (9x-7)(4x-6)= equation:


Simplifying
(9x + -7)(4x + -6) = 0

Reorder the terms:
(-7 + 9x)(4x + -6) = 0

Reorder the terms:
(-7 + 9x)(-6 + 4x) = 0

Multiply (-7 + 9x) * (-6 + 4x)
(-7(-6 + 4x) + 9x * (-6 + 4x)) = 0
((-6 * -7 + 4x * -7) + 9x * (-6 + 4x)) = 0
((42 + -28x) + 9x * (-6 + 4x)) = 0
(42 + -28x + (-6 * 9x + 4x * 9x)) = 0
(42 + -28x + (-54x + 36x2)) = 0

Combine like terms: -28x + -54x = -82x
(42 + -82x + 36x2) = 0

Solving
42 + -82x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -41x + 18x2) = 0

Factor a trinomial.
2((7 + -9x)(3 + -2x)) = 0

Ignore the factor 2.

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 '(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 = {0.7777777778, 1.5}

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