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Simplifying
4(3x + 6)(x + -2) = 0
Reorder the terms:
4(6 + 3x)(x + -2) = 0
Reorder the terms:
4(6 + 3x)(-2 + x) = 0
Multiply (6 + 3x) * (-2 + x)
4(6(-2 + x) + 3x * (-2 + x)) = 0
4((-2 * 6 + x * 6) + 3x * (-2 + x)) = 0
4((-12 + 6x) + 3x * (-2 + x)) = 0
4(-12 + 6x + (-2 * 3x + x * 3x)) = 0
4(-12 + 6x + (-6x + 3x2)) = 0
Combine like terms: 6x + -6x = 0
4(-12 + 0 + 3x2) = 0
4(-12 + 3x2) = 0
(-12 * 4 + 3x2 * 4) = 0
(-48 + 12x2) = 0
Solving
-48 + 12x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '48' to each side of the equation.
-48 + 48 + 12x2 = 0 + 48
Combine like terms: -48 + 48 = 0
0 + 12x2 = 0 + 48
12x2 = 0 + 48
Combine like terms: 0 + 48 = 48
12x2 = 48
Divide each side by '12'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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