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Simplifying
2(6x2 + -2) + -1[8(9x2 + -1) + 2] = 0
Reorder the terms:
2(-2 + 6x2) + -1[8(9x2 + -1) + 2] = 0
(-2 * 2 + 6x2 * 2) + -1[8(9x2 + -1) + 2] = 0
(-4 + 12x2) + -1[8(9x2 + -1) + 2] = 0
Reorder the terms:
-4 + 12x2 + -1[8(-1 + 9x2) + 2] = 0
-4 + 12x2 + -1[(-1 * 8 + 9x2 * 8) + 2] = 0
-4 + 12x2 + -1[(-8 + 72x2) + 2] = 0
Reorder the terms:
-4 + 12x2 + -1[-8 + 2 + 72x2] = 0
Combine like terms: -8 + 2 = -6
-4 + 12x2 + -1[-6 + 72x2] = 0
-4 + 12x2 + [-6 * -1 + 72x2 * -1] = 0
-4 + 12x2 + [6 + -72x2] = 0
Reorder the terms:
-4 + 6 + 12x2 + -72x2 = 0
Combine like terms: -4 + 6 = 2
2 + 12x2 + -72x2 = 0
Combine like terms: 12x2 + -72x2 = -60x2
2 + -60x2 = 0
Solving
2 + -60x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -60x2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -60x2 = 0 + -2
-60x2 = 0 + -2
Combine like terms: 0 + -2 = -2
-60x2 = -2
Divide each side by '-60'.
x2 = 0.03333333333
Simplifying
x2 = 0.03333333333
Take the square root of each side:
x = {-0.182574186, 0.182574186}
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