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Simplifying 1 + x(6 + -4x) + -6x = 0 1 + (6 * x + -4x * x) + -6x = 0 1 + (6x + -4x2) + -6x = 0 Reorder the terms: 1 + 6x + -6x + -4x2 = 0 Combine like terms: 6x + -6x = 0 1 + 0 + -4x2 = 0 1 + -4x2 = 0 Solving 1 + -4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x2 = 0 + -1 -4x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x2 = -1 Divide each side by '-4'. x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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