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Simplifying 36x2 + -18x = 12x + -14x2 Reorder the terms: -18x + 36x2 = 12x + -14x2 Solving -18x + 36x2 = 12x + -14x2 Solving for variable 'x'. Reorder the terms: -18x + -12x + 36x2 + 14x2 = 12x + -14x2 + -12x + 14x2 Combine like terms: -18x + -12x = -30x -30x + 36x2 + 14x2 = 12x + -14x2 + -12x + 14x2 Combine like terms: 36x2 + 14x2 = 50x2 -30x + 50x2 = 12x + -14x2 + -12x + 14x2 Reorder the terms: -30x + 50x2 = 12x + -12x + -14x2 + 14x2 Combine like terms: 12x + -12x = 0 -30x + 50x2 = 0 + -14x2 + 14x2 -30x + 50x2 = -14x2 + 14x2 Combine like terms: -14x2 + 14x2 = 0 -30x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-3 + 5x) = 0 Ignore the factor 10.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 '(-3 + 5x)' equal to zero and attempt to solve: Simplifying -3 + 5x = 0 Solving -3 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 0 + 3 5x = 0 + 3 Combine like terms: 0 + 3 = 3 5x = 3 Divide each side by '5'. x = 0.6 Simplifying x = 0.6Solution
x = {0, 0.6}
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