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Simplifying 4x2 + -5x + -2 = -1x + -3 Reorder the terms: -2 + -5x + 4x2 = -1x + -3 Reorder the terms: -2 + -5x + 4x2 = -3 + -1x Solving -2 + -5x + 4x2 = -3 + -1x Solving for variable 'x'. Reorder the terms: -2 + 3 + -5x + x + 4x2 = -3 + -1x + 3 + x Combine like terms: -2 + 3 = 1 1 + -5x + x + 4x2 = -3 + -1x + 3 + x Combine like terms: -5x + x = -4x 1 + -4x + 4x2 = -3 + -1x + 3 + x Reorder the terms: 1 + -4x + 4x2 = -3 + 3 + -1x + x Combine like terms: -3 + 3 = 0 1 + -4x + 4x2 = 0 + -1x + x 1 + -4x + 4x2 = -1x + x Combine like terms: -1x + x = 0 1 + -4x + 4x2 = 0 Factor a trinomial. (1 + -2x)(1 + -2x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.5, 0.5}
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