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Simplifying
6x2 + 18(2 + -8) * 2 + -4 = 0
Combine like terms: 2 + -8 = -6
6x2 + 18(-6) * 2 + -4 = 0
Multiply 18 * -6
6x2 + -108 * 2 + -4 = 0
Multiply -108 * 2
6x2 + -216 + -4 = 0
Reorder the terms:
-216 + -4 + 6x2 = 0
Combine like terms: -216 + -4 = -220
-220 + 6x2 = 0
Solving
-220 + 6x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '220' to each side of the equation.
-220 + 220 + 6x2 = 0 + 220
Combine like terms: -220 + 220 = 0
0 + 6x2 = 0 + 220
6x2 = 0 + 220
Combine like terms: 0 + 220 = 220
6x2 = 220
Divide each side by '6'.
x2 = 36.66666667
Simplifying
x2 = 36.66666667
Take the square root of each side:
x = {-6.055300708, 6.055300708}
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