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Simplifying
3(x2 + -2x + -4) = -2(x2 + 3x + 6)
Reorder the terms:
3(-4 + -2x + x2) = -2(x2 + 3x + 6)
(-4 * 3 + -2x * 3 + x2 * 3) = -2(x2 + 3x + 6)
(-12 + -6x + 3x2) = -2(x2 + 3x + 6)
Reorder the terms:
-12 + -6x + 3x2 = -2(6 + 3x + x2)
-12 + -6x + 3x2 = (6 * -2 + 3x * -2 + x2 * -2)
-12 + -6x + 3x2 = (-12 + -6x + -2x2)
Add '12' to each side of the equation.
-12 + -6x + 12 + 3x2 = -12 + -6x + 12 + -2x2
Reorder the terms:
-12 + 12 + -6x + 3x2 = -12 + -6x + 12 + -2x2
Combine like terms: -12 + 12 = 0
0 + -6x + 3x2 = -12 + -6x + 12 + -2x2
-6x + 3x2 = -12 + -6x + 12 + -2x2
Reorder the terms:
-6x + 3x2 = -12 + 12 + -6x + -2x2
Combine like terms: -12 + 12 = 0
-6x + 3x2 = 0 + -6x + -2x2
-6x + 3x2 = -6x + -2x2
Add '6x' to each side of the equation.
-6x + 6x + 3x2 = -6x + 6x + -2x2
Combine like terms: -6x + 6x = 0
0 + 3x2 = -6x + 6x + -2x2
3x2 = -6x + 6x + -2x2
Combine like terms: -6x + 6x = 0
3x2 = 0 + -2x2
3x2 = -2x2
Solving
3x2 = -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
3x2 + 2x2 = -2x2 + 2x2
Combine like terms: 3x2 + 2x2 = 5x2
5x2 = -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
5x2 = 0
Divide each side by '5'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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