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Simplifying 2x2 + -212x = 0 Reorder the terms: -212x + 2x2 = 0 Solving -212x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-106 + x) = 0 Ignore the factor 2.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 '(-106 + x)' equal to zero and attempt to solve: Simplifying -106 + x = 0 Solving -106 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '106' to each side of the equation. -106 + 106 + x = 0 + 106 Combine like terms: -106 + 106 = 0 0 + x = 0 + 106 x = 0 + 106 Combine like terms: 0 + 106 = 106 x = 106 Simplifying x = 106Solution
x = {0, 106}
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