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Simplifying 1720 = 5x2 + -14x Reorder the terms: 1720 = -14x + 5x2 Solving 1720 = -14x + 5x2 Solving for variable 'x'. Reorder the terms: 1720 + 14x + -5x2 = -14x + 14x + 5x2 + -5x2 Combine like terms: -14x + 14x = 0 1720 + 14x + -5x2 = 0 + 5x2 + -5x2 1720 + 14x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 1720 + 14x + -5x2 = 0 Factor a trinomial. (20 + -1x)(86 + 5x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(86 + 5x)' equal to zero and attempt to solve: Simplifying 86 + 5x = 0 Solving 86 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 5x = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 5x = 0 + -86 5x = 0 + -86 Combine like terms: 0 + -86 = -86 5x = -86 Divide each side by '5'. x = -17.2 Simplifying x = -17.2Solution
x = {20, -17.2}
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