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Simplifying 3x2 = 51x Solving 3x2 = 51x Solving for variable 'x'. Reorder the terms: -51x + 3x2 = 51x + -51x Combine like terms: 51x + -51x = 0 -51x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-17 + x) = 0 Ignore the factor 3.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 '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Simplifying x = 17Solution
x = {0, 17}
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