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Simplifying 4x2 + -62x = 0 Reorder the terms: -62x + 4x2 = 0 Solving -62x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-31 + 2x) = 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 '(-31 + 2x)' equal to zero and attempt to solve: Simplifying -31 + 2x = 0 Solving -31 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 2x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 2x = 0 + 31 2x = 0 + 31 Combine like terms: 0 + 31 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5Solution
x = {0, 15.5}
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