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Simplifying 10x2 + -82x = 0 Reorder the terms: -82x + 10x2 = 0 Solving -82x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-41 + 5x) = 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 '(-41 + 5x)' equal to zero and attempt to solve: Simplifying -41 + 5x = 0 Solving -41 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 5x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 5x = 0 + 41 5x = 0 + 41 Combine like terms: 0 + 41 = 41 5x = 41 Divide each side by '5'. x = 8.2 Simplifying x = 8.2Solution
x = {0, 8.2}
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