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Simplifying 14x + -12x2 = 23x + 25x + -40x Combine like terms: 23x + 25x = 48x 14x + -12x2 = 48x + -40x Combine like terms: 48x + -40x = 8x 14x + -12x2 = 8x Solving 14x + -12x2 = 8x Solving for variable 'x'. Reorder the terms: 14x + -8x + -12x2 = 8x + -8x Combine like terms: 14x + -8x = 6x 6x + -12x2 = 8x + -8x Combine like terms: 8x + -8x = 0 6x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(1 + -2x) = 0 Ignore the factor 6.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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