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Simplifying 0 = 4x2 + 2x Reorder the terms: 0 = 2x + 4x2 Solving 0 = 2x + 4x2 Solving for variable 'x'. Remove the zero: -2x + -4x2 = 2x + 4x2 + -2x + -4x2 Reorder the terms: -2x + -4x2 = 2x + -2x + 4x2 + -4x2 Combine like terms: 2x + -2x = 0 -2x + -4x2 = 0 + 4x2 + -4x2 -2x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(1 + 2x) = 0 Ignore the factor -2.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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