(4x-9)(2x-4)=

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Solution for (4x-9)(2x-4)= equation: 


Simplifying
(4x + -9)(2x + -4) = 0

Reorder the terms:
(-9 + 4x)(2x + -4) = 0

Reorder the terms:
(-9 + 4x)(-4 + 2x) = 0

Multiply (-9 + 4x) * (-4 + 2x)
(-9(-4 + 2x) + 4x * (-4 + 2x)) = 0
((-4 * -9 + 2x * -9) + 4x * (-4 + 2x)) = 0
((36 + -18x) + 4x * (-4 + 2x)) = 0
(36 + -18x + (-4 * 4x + 2x * 4x)) = 0
(36 + -18x + (-16x + 8x2)) = 0

Combine like terms: -18x + -16x = -34x
(36 + -34x + 8x2) = 0

Solving
36 + -34x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + -17x + 4x2) = 0

Factor a trinomial.
2((2 + -1x)(9 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {2, 2.25}

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