3x(4x-6)-3x(2x+5)=

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Solution for 3x(4x-6)-3x(2x+5)= equation: 


Simplifying
3x(4x + -6) + -3x(2x + 5) = 0

Reorder the terms:
3x(-6 + 4x) + -3x(2x + 5) = 0
(-6 * 3x + 4x * 3x) + -3x(2x + 5) = 0
(-18x + 12x2) + -3x(2x + 5) = 0

Reorder the terms:
-18x + 12x2 + -3x(5 + 2x) = 0
-18x + 12x2 + (5 * -3x + 2x * -3x) = 0
-18x + 12x2 + (-15x + -6x2) = 0

Reorder the terms:
-18x + -15x + 12x2 + -6x2 = 0

Combine like terms: -18x + -15x = -33x
-33x + 12x2 + -6x2 = 0

Combine like terms: 12x2 + -6x2 = 6x2
-33x + 6x2 = 0

Solving
-33x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-11 + 2x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

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