(4x-4)(5x-9)=

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Solution for (4x-4)(5x-9)= equation: 


Simplifying
(4x + -4)(5x + -9) = 0

Reorder the terms:
(-4 + 4x)(5x + -9) = 0

Reorder the terms:
(-4 + 4x)(-9 + 5x) = 0

Multiply (-4 + 4x) * (-9 + 5x)
(-4(-9 + 5x) + 4x * (-9 + 5x)) = 0
((-9 * -4 + 5x * -4) + 4x * (-9 + 5x)) = 0
((36 + -20x) + 4x * (-9 + 5x)) = 0
(36 + -20x + (-9 * 4x + 5x * 4x)) = 0
(36 + -20x + (-36x + 20x2)) = 0

Combine like terms: -20x + -36x = -56x
(36 + -56x + 20x2) = 0

Solving
36 + -56x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -14x + 5x2) = 0

Factor a trinomial.
4((1 + -1x)(9 + -5x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {1, 1.8}

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