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Simplifying 4x2 = 80x + -400 Reorder the terms: 4x2 = -400 + 80x Solving 4x2 = -400 + 80x Solving for variable 'x'. Reorder the terms: 400 + -80x + 4x2 = -400 + 80x + 400 + -80x Reorder the terms: 400 + -80x + 4x2 = -400 + 400 + 80x + -80x Combine like terms: -400 + 400 = 0 400 + -80x + 4x2 = 0 + 80x + -80x 400 + -80x + 4x2 = 80x + -80x Combine like terms: 80x + -80x = 0 400 + -80x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(100 + -20x + x2) = 0 Factor a trinomial. 4((10 + -1x)(10 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {10, 10}
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