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Simplifying 52x = 3x2 Solving 52x = 3x2 Solving for variable 'x'. Combine like terms: 3x2 + -3x2 = 0 52x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(52 + -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 '(52 + -3x)' equal to zero and attempt to solve: Simplifying 52 + -3x = 0 Solving 52 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -3x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -3x = 0 + -52 -3x = 0 + -52 Combine like terms: 0 + -52 = -52 -3x = -52 Divide each side by '-3'. x = 17.33333333 Simplifying x = 17.33333333Solution
x = {0, 17.33333333}
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