12x(3x-3)-6x(7x-9)=

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Solution for 12x(3x-3)-6x(7x-9)= equation:


Simplifying
12x(3x + -3) + -6x(7x + -9) = 0

Reorder the terms:
12x(-3 + 3x) + -6x(7x + -9) = 0
(-3 * 12x + 3x * 12x) + -6x(7x + -9) = 0
(-36x + 36x2) + -6x(7x + -9) = 0

Reorder the terms:
-36x + 36x2 + -6x(-9 + 7x) = 0
-36x + 36x2 + (-9 * -6x + 7x * -6x) = 0
-36x + 36x2 + (54x + -42x2) = 0

Reorder the terms:
-36x + 54x + 36x2 + -42x2 = 0

Combine like terms: -36x + 54x = 18x
18x + 36x2 + -42x2 = 0

Combine like terms: 36x2 + -42x2 = -6x2
18x + -6x2 = 0

Solving
18x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + -1x) = 0

Ignore the factor 6.

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 '(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 = {0, 3}

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