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Simplifying 2x(2 + -4x) + 5 = 5 (2 * 2x + -4x * 2x) + 5 = 5 (4x + -8x2) + 5 = 5 Reorder the terms: 5 + 4x + -8x2 = 5 Add '-5' to each side of the equation. 5 + 4x + -5 + -8x2 = 5 + -5 Reorder the terms: 5 + -5 + 4x + -8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 0 + 4x + -8x2 = 5 + -5 4x + -8x2 = 5 + -5 Combine like terms: 5 + -5 = 0 4x + -8x2 = 0 Solving 4x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + -2x) = 0 Ignore the factor 4.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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