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Simplifying
8x * 4x + -12(4 + -2) = 0
Reorder the terms for easier multiplication:
8 * 4x * x + -12(4 + -2) = 0
Multiply 8 * 4
32x * x + -12(4 + -2) = 0
Multiply x * x
32x2 + -12(4 + -2) = 0
Combine like terms: 4 + -2 = 2
32x2 + -12(2) = 0
Multiply -12 * 2
32x2 + -24 = 0
Reorder the terms:
-24 + 32x2 = 0
Solving
-24 + 32x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 32x2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 32x2 = 0 + 24
32x2 = 0 + 24
Combine like terms: 0 + 24 = 24
32x2 = 24
Divide each side by '32'.
x2 = 0.75
Simplifying
x2 = 0.75
Take the square root of each side:
x = {-0.866025404, 0.866025404}
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