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Simplifying 2x2 + 2x = 5x2 + -35x Reorder the terms: 2x + 2x2 = 5x2 + -35x Reorder the terms: 2x + 2x2 = -35x + 5x2 Solving 2x + 2x2 = -35x + 5x2 Solving for variable 'x'. Reorder the terms: 2x + 35x + 2x2 + -5x2 = -35x + 5x2 + 35x + -5x2 Combine like terms: 2x + 35x = 37x 37x + 2x2 + -5x2 = -35x + 5x2 + 35x + -5x2 Combine like terms: 2x2 + -5x2 = -3x2 37x + -3x2 = -35x + 5x2 + 35x + -5x2 Reorder the terms: 37x + -3x2 = -35x + 35x + 5x2 + -5x2 Combine like terms: -35x + 35x = 0 37x + -3x2 = 0 + 5x2 + -5x2 37x + -3x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 37x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(37 + -3x) = 0Subproblem 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 '(37 + -3x)' equal to zero and attempt to solve: Simplifying 37 + -3x = 0 Solving 37 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -3x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -3x = 0 + -37 -3x = 0 + -37 Combine like terms: 0 + -37 = -37 -3x = -37 Divide each side by '-3'. x = 12.33333333 Simplifying x = 12.33333333Solution
x = {0, 12.33333333}
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