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Simplifying 16x2 = 52x Solving 16x2 = 52x Solving for variable 'x'. Reorder the terms: -52x + 16x2 = 52x + -52x Combine like terms: 52x + -52x = 0 -52x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-13 + 4x) = 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 '(-13 + 4x)' equal to zero and attempt to solve: Simplifying -13 + 4x = 0 Solving -13 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 0 + 13 4x = 0 + 13 Combine like terms: 0 + 13 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25Solution
x = {0, 3.25}
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