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Simplifying x2 + 6x = 2295 Reorder the terms: 6x + x2 = 2295 Solving 6x + x2 = 2295 Solving for variable 'x'. Reorder the terms: -2295 + 6x + x2 = 2295 + -2295 Combine like terms: 2295 + -2295 = 0 -2295 + 6x + x2 = 0 Factor a trinomial. (-51 + -1x)(45 + -1x) = 0Subproblem 1
Set the factor '(-51 + -1x)' equal to zero and attempt to solve: Simplifying -51 + -1x = 0 Solving -51 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -1x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 0 + 51 -1x = 0 + 51 Combine like terms: 0 + 51 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {-51, 45}
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