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Simplifying 5x2 = 2x2 + -35x Reorder the terms: 5x2 = -35x + 2x2 Solving 5x2 = -35x + 2x2 Solving for variable 'x'. Reorder the terms: 35x + 5x2 + -2x2 = -35x + 2x2 + 35x + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 35x + 3x2 = -35x + 2x2 + 35x + -2x2 Reorder the terms: 35x + 3x2 = -35x + 35x + 2x2 + -2x2 Combine like terms: -35x + 35x = 0 35x + 3x2 = 0 + 2x2 + -2x2 35x + 3x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 35x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(35 + 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 '(35 + 3x)' equal to zero and attempt to solve: Simplifying 35 + 3x = 0 Solving 35 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 3x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 3x = 0 + -35 3x = 0 + -35 Combine like terms: 0 + -35 = -35 3x = -35 Divide each side by '3'. x = -11.66666667 Simplifying x = -11.66666667Solution
x = {0, -11.66666667}
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