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Simplifying 875 = x2 + 10x Reorder the terms: 875 = 10x + x2 Solving 875 = 10x + x2 Solving for variable 'x'. Reorder the terms: 875 + -10x + -1x2 = 10x + -10x + x2 + -1x2 Combine like terms: 10x + -10x = 0 875 + -10x + -1x2 = 0 + x2 + -1x2 875 + -10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 875 + -10x + -1x2 = 0 Factor a trinomial. (25 + -1x)(35 + x) = 0Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Simplifying x = -35Solution
x = {25, -35}
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