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Simplifying 7x + -3x = 4x + -3x(1 + -2x) Combine like terms: 7x + -3x = 4x 4x = 4x + -3x(1 + -2x) 4x = 4x + (1 * -3x + -2x * -3x) 4x = 4x + (-3x + 6x2) Combine like terms: 4x + -3x = 1x 4x = 1x + 6x2 Solving 4x = 1x + 6x2 Solving for variable 'x'. Combine like terms: 4x + -1x = 3x 3x + -6x2 = 1x + 6x2 + -1x + -6x2 Reorder the terms: 3x + -6x2 = 1x + -1x + 6x2 + -6x2 Combine like terms: 1x + -1x = 0 3x + -6x2 = 0 + 6x2 + -6x2 3x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 3x + -6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -2x) = 0 Ignore the factor 3.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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