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Simplifying
3(2x + 4x) + -3x(4x + -2x + 6) = 0
Combine like terms: 2x + 4x = 6x
3(6x) + -3x(4x + -2x + 6) = 0
Remove parenthesis around (6x)
3 * 6x + -3x(4x + -2x + 6) = 0
Multiply 3 * 6
18x + -3x(4x + -2x + 6) = 0
Reorder the terms:
18x + -3x(6 + 4x + -2x) = 0
Combine like terms: 4x + -2x = 2x
18x + -3x(6 + 2x) = 0
18x + (6 * -3x + 2x * -3x) = 0
18x + (-18x + -6x2) = 0
Combine like terms: 18x + -18x = 0
0 + -6x2 = 0
-6x2 = 0
Solving
-6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-6'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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