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