(6x-9)(3x-15)=

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Solution for (6x-9)(3x-15)= equation: 


Simplifying
(6x + -9)(3x + -15) = 0

Reorder the terms:
(-9 + 6x)(3x + -15) = 0

Reorder the terms:
(-9 + 6x)(-15 + 3x) = 0

Multiply (-9 + 6x) * (-15 + 3x)
(-9(-15 + 3x) + 6x * (-15 + 3x)) = 0
((-15 * -9 + 3x * -9) + 6x * (-15 + 3x)) = 0
((135 + -27x) + 6x * (-15 + 3x)) = 0
(135 + -27x + (-15 * 6x + 3x * 6x)) = 0
(135 + -27x + (-90x + 18x2)) = 0

Combine like terms: -27x + -90x = -117x
(135 + -117x + 18x2) = 0

Solving
135 + -117x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(15 + -13x + 2x2) = 0

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

Ignore the factor 9.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.5, 5}

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