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Simplifying
x(6x) + -2x + -12 = -2x
Remove parenthesis around (6x)
x * 6x + -2x + -12 = -2x
Reorder the terms for easier multiplication:
6x * x + -2x + -12 = -2x
Multiply x * x
6x2 + -2x + -12 = -2x
Reorder the terms:
-12 + -2x + 6x2 = -2x
Add '2x' to each side of the equation.
-12 + -2x + 2x + 6x2 = -2x + 2x
Combine like terms: -2x + 2x = 0
-12 + 0 + 6x2 = -2x + 2x
-12 + 6x2 = -2x + 2x
Combine like terms: -2x + 2x = 0
-12 + 6x2 = 0
Solving
-12 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 6x2 = 0 + 12
Combine like terms: -12 + 12 = 0
0 + 6x2 = 0 + 12
6x2 = 0 + 12
Combine like terms: 0 + 12 = 12
6x2 = 12
Divide each side by '6'.
x2 = 2
Simplifying
x2 = 2
Take the square root of each side:
x = {-1.414213562, 1.414213562}
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