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Simplifying x2 + 60x + 19500 = 740x Reorder the terms: 19500 + 60x + x2 = 740x Solving 19500 + 60x + x2 = 740x Solving for variable 'x'. Reorder the terms: 19500 + 60x + -740x + x2 = 740x + -740x Combine like terms: 60x + -740x = -680x 19500 + -680x + x2 = 740x + -740x Combine like terms: 740x + -740x = 0 19500 + -680x + x2 = 0 Factor a trinomial. (30 + -1x)(650 + -1x) = 0Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Subproblem 2
Set the factor '(650 + -1x)' equal to zero and attempt to solve: Simplifying 650 + -1x = 0 Solving 650 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-650' to each side of the equation. 650 + -650 + -1x = 0 + -650 Combine like terms: 650 + -650 = 0 0 + -1x = 0 + -650 -1x = 0 + -650 Combine like terms: 0 + -650 = -650 -1x = -650 Divide each side by '-1'. x = 650 Simplifying x = 650Solution
x = {30, 650}
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