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Simplifying x2 + 1524x + 36000 = 0 Reorder the terms: 36000 + 1524x + x2 = 0 Solving 36000 + 1524x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (1500 + x)(24 + x) = 0Subproblem 1
Set the factor '(1500 + x)' equal to zero and attempt to solve: Simplifying 1500 + x = 0 Solving 1500 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1500' to each side of the equation. 1500 + -1500 + x = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + x = 0 + -1500 x = 0 + -1500 Combine like terms: 0 + -1500 = -1500 x = -1500 Simplifying x = -1500Subproblem 2
Set the factor '(24 + x)' equal to zero and attempt to solve: Simplifying 24 + x = 0 Solving 24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x = 0 + -24 x = 0 + -24 Combine like terms: 0 + -24 = -24 x = -24 Simplifying x = -24Solution
x = {-1500, -24}
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