(2x-6)(5x-9)=

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Solution for (2x-6)(5x-9)= equation: 


Simplifying
(2x + -6)(5x + -9) = 0

Reorder the terms:
(-6 + 2x)(5x + -9) = 0

Reorder the terms:
(-6 + 2x)(-9 + 5x) = 0

Multiply (-6 + 2x) * (-9 + 5x)
(-6(-9 + 5x) + 2x * (-9 + 5x)) = 0
((-9 * -6 + 5x * -6) + 2x * (-9 + 5x)) = 0
((54 + -30x) + 2x * (-9 + 5x)) = 0
(54 + -30x + (-9 * 2x + 5x * 2x)) = 0
(54 + -30x + (-18x + 10x2)) = 0

Combine like terms: -30x + -18x = -48x
(54 + -48x + 10x2) = 0

Solving
54 + -48x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(27 + -24x + 5x2) = 0

Factor a trinomial.
2((9 + -5x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.8, 3}

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