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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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