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Simplifying (2x2 + -1x) + -4(2x2 + -1x) + 3 = 0 Reorder the terms: (-1x + 2x2) + -4(2x2 + -1x) + 3 = 0 Remove parenthesis around (-1x + 2x2) -1x + 2x2 + -4(2x2 + -1x) + 3 = 0 Reorder the terms: -1x + 2x2 + -4(-1x + 2x2) + 3 = 0 -1x + 2x2 + (-1x * -4 + 2x2 * -4) + 3 = 0 -1x + 2x2 + (4x + -8x2) + 3 = 0 Reorder the terms: 3 + -1x + 4x + 2x2 + -8x2 = 0 Combine like terms: -1x + 4x = 3x 3 + 3x + 2x2 + -8x2 = 0 Combine like terms: 2x2 + -8x2 = -6x2 3 + 3x + -6x2 = 0 Solving 3 + 3x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + x + -2x2) = 0 Factor a trinomial. 3((1 + -1x)(1 + 2x)) = 0 Ignore the factor 3.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 '(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 = {1, -0.5}
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