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Simplifying 9300 = x2 + -15x + 44 Reorder the terms: 9300 = 44 + -15x + x2 Solving 9300 = 44 + -15x + x2 Solving for variable 'x'. Combine like terms: 9300 + -44 = 9256 9256 + 15x + -1x2 = 44 + -15x + x2 + -44 + 15x + -1x2 Reorder the terms: 9256 + 15x + -1x2 = 44 + -44 + -15x + 15x + x2 + -1x2 Combine like terms: 44 + -44 = 0 9256 + 15x + -1x2 = 0 + -15x + 15x + x2 + -1x2 9256 + 15x + -1x2 = -15x + 15x + x2 + -1x2 Combine like terms: -15x + 15x = 0 9256 + 15x + -1x2 = 0 + x2 + -1x2 9256 + 15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9256 + 15x + -1x2 = 0 Factor a trinomial. (104 + -1x)(89 + x) = 0Subproblem 1
Set the factor '(104 + -1x)' equal to zero and attempt to solve: Simplifying 104 + -1x = 0 Solving 104 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-104' to each side of the equation. 104 + -104 + -1x = 0 + -104 Combine like terms: 104 + -104 = 0 0 + -1x = 0 + -104 -1x = 0 + -104 Combine like terms: 0 + -104 = -104 -1x = -104 Divide each side by '-1'. x = 104 Simplifying x = 104Subproblem 2
Set the factor '(89 + x)' equal to zero and attempt to solve: Simplifying 89 + x = 0 Solving 89 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + x = 0 + -89 Combine like terms: 89 + -89 = 0 0 + x = 0 + -89 x = 0 + -89 Combine like terms: 0 + -89 = -89 x = -89 Simplifying x = -89Solution
x = {104, -89}
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