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Simplifying (2x + -2) + (4x2 + -4x) = 4 Reorder the terms: (-2 + 2x) + (4x2 + -4x) = 4 Remove parenthesis around (-2 + 2x) -2 + 2x + (4x2 + -4x) = 4 Reorder the terms: -2 + 2x + (-4x + 4x2) = 4 Remove parenthesis around (-4x + 4x2) -2 + 2x + -4x + 4x2 = 4 Combine like terms: 2x + -4x = -2x -2 + -2x + 4x2 = 4 Solving -2 + -2x + 4x2 = 4 Solving for variable 'x'. Reorder the terms: -2 + -4 + -2x + 4x2 = 4 + -4 Combine like terms: -2 + -4 = -6 -6 + -2x + 4x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -6 + -2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -1x + 2x2) = 0 Factor a trinomial. 2((-1 + -1x)(3 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-1, 1.5}
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