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Simplifying 2(x2 + -2x) + 3x + -4x2 = 0 Reorder the terms: 2(-2x + x2) + 3x + -4x2 = 0 (-2x * 2 + x2 * 2) + 3x + -4x2 = 0 (-4x + 2x2) + 3x + -4x2 = 0 Reorder the terms: -4x + 3x + 2x2 + -4x2 = 0 Combine like terms: -4x + 3x = -1x -1x + 2x2 + -4x2 = 0 Combine like terms: 2x2 + -4x2 = -2x2 -1x + -2x2 = 0 Solving -1x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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, -0.5}
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