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Simplifying 3x2 = 80x + x2 Solving 3x2 = 80x + x2 Solving for variable 'x'. Reorder the terms: -80x + 3x2 + -1x2 = 80x + x2 + -80x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 -80x + 2x2 = 80x + x2 + -80x + -1x2 Reorder the terms: -80x + 2x2 = 80x + -80x + x2 + -1x2 Combine like terms: 80x + -80x = 0 -80x + 2x2 = 0 + x2 + -1x2 -80x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -80x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-40 + 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 '(-40 + x)' equal to zero and attempt to solve: Simplifying -40 + x = 0 Solving -40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + x = 0 + 40 x = 0 + 40 Combine like terms: 0 + 40 = 40 x = 40 Simplifying x = 40Solution
x = {0, 40}
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