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Simplifying 4x2 + -1 + -1(4x2 + -4x + 1) = 0 Reorder the terms: 4x2 + -1 + -1(1 + -4x + 4x2) = 0 4x2 + -1 + (1 * -1 + -4x * -1 + 4x2 * -1) = 0 4x2 + -1 + (-1 + 4x + -4x2) = 0 Reorder the terms: -1 + -1 + 4x + 4x2 + -4x2 = 0 Combine like terms: -1 + -1 = -2 -2 + 4x + 4x2 + -4x2 = 0 Combine like terms: 4x2 + -4x2 = 0 -2 + 4x + 0 = 0 -2 + 4x = 0 Solving -2 + 4x = 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 + 4x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 0 + 2 4x = 0 + 2 Combine like terms: 0 + 2 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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