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Simplifying 0 = x2 + 15x + -10450 Reorder the terms: 0 = -10450 + 15x + x2 Solving 0 = -10450 + 15x + x2 Solving for variable 'x'. Combine like terms: 0 + 10450 = 10450 10450 + -15x + -1x2 = -10450 + 15x + x2 + 10450 + -15x + -1x2 Reorder the terms: 10450 + -15x + -1x2 = -10450 + 10450 + 15x + -15x + x2 + -1x2 Combine like terms: -10450 + 10450 = 0 10450 + -15x + -1x2 = 0 + 15x + -15x + x2 + -1x2 10450 + -15x + -1x2 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 10450 + -15x + -1x2 = 0 + x2 + -1x2 10450 + -15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10450 + -15x + -1x2 = 0 Factor a trinomial. (95 + -1x)(110 + x) = 0Subproblem 1
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Subproblem 2
Set the factor '(110 + x)' equal to zero and attempt to solve: Simplifying 110 + x = 0 Solving 110 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + x = 0 + -110 x = 0 + -110 Combine like terms: 0 + -110 = -110 x = -110 Simplifying x = -110Solution
x = {95, -110}
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