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Simplifying 1520 = x(26 + 3x + -3) Reorder the terms: 1520 = x(26 + -3 + 3x) Combine like terms: 26 + -3 = 23 1520 = x(23 + 3x) 1520 = (23 * x + 3x * x) 1520 = (23x + 3x2) Solving 1520 = 23x + 3x2 Solving for variable 'x'. Reorder the terms: 1520 + -23x + -3x2 = 23x + -23x + 3x2 + -3x2 Combine like terms: 23x + -23x = 0 1520 + -23x + -3x2 = 0 + 3x2 + -3x2 1520 + -23x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 1520 + -23x + -3x2 = 0 Factor a trinomial. (19 + -1x)(80 + 3x) = 0Subproblem 1
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Subproblem 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 = {19, -26.66666667}
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