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Simplifying 24x2 = 104x + -80 Reorder the terms: 24x2 = -80 + 104x Solving 24x2 = -80 + 104x Solving for variable 'x'. Reorder the terms: 80 + -104x + 24x2 = -80 + 104x + 80 + -104x Reorder the terms: 80 + -104x + 24x2 = -80 + 80 + 104x + -104x Combine like terms: -80 + 80 = 0 80 + -104x + 24x2 = 0 + 104x + -104x 80 + -104x + 24x2 = 104x + -104x Combine like terms: 104x + -104x = 0 80 + -104x + 24x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(10 + -13x + 3x2) = 0 Factor a trinomial. 8((1 + -1x)(10 + -3x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 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 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {1, 3.333333333}
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