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Simplifying 3 + x(8 + -4x) + -8x = 0 3 + (8 * x + -4x * x) + -8x = 0 3 + (8x + -4x2) + -8x = 0 Reorder the terms: 3 + 8x + -8x + -4x2 = 0 Combine like terms: 8x + -8x = 0 3 + 0 + -4x2 = 0 3 + -4x2 = 0 Solving 3 + -4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x2 = 0 + -3 -4x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4x2 = -3 Divide each side by '-4'. x2 = 0.75 Simplifying x2 = 0.75 Take the square root of each side: x = {-0.866025404, 0.866025404}
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