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Simplifying 210 = x2 + x Reorder the terms: 210 = x + x2 Solving 210 = x + x2 Solving for variable 'x'. Reorder the terms: 210 + -1x + -1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 210 + -1x + -1x2 = 0 + x2 + -1x2 210 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 210 + -1x + -1x2 = 0 Factor a trinomial. (14 + -1x)(15 + x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Solution
x = {14, -15}
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