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Simplifying 3x2 + -104x + 640 = 0 Reorder the terms: 640 + -104x + 3x2 = 0 Solving 640 + -104x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(80 + -3x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(80 + -3x)' equal to zero and attempt to solve: Simplifying 80 + -3x = 0 Solving 80 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -3x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -3x = 0 + -80 -3x = 0 + -80 Combine like terms: 0 + -80 = -80 -3x = -80 Divide each side by '-3'. x = 26.66666667 Simplifying x = 26.66666667Solution
x = {8, 26.66666667}
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