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Simplifying 0 = 4x(52 + -3x) 0 = (52 * 4x + -3x * 4x) 0 = (208x + -12x2) Solving 0 = 208x + -12x2 Solving for variable 'x'. Remove the zero: -208x + 12x2 = 208x + -12x2 + -208x + 12x2 Reorder the terms: -208x + 12x2 = 208x + -208x + -12x2 + 12x2 Combine like terms: 208x + -208x = 0 -208x + 12x2 = 0 + -12x2 + 12x2 -208x + 12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -208x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-52 + 3x) = 0 Ignore the factor 4.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 '(-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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