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Simplifying x2 + 22x + 98 = x Reorder the terms: 98 + 22x + x2 = x Solving 98 + 22x + x2 = x Solving for variable 'x'. Reorder the terms: 98 + 22x + -1x + x2 = x + -1x Combine like terms: 22x + -1x = 21x 98 + 21x + x2 = x + -1x Combine like terms: x + -1x = 0 98 + 21x + x2 = 0 Factor a trinomial. (14 + x)(7 + x) = 0Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 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 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-14, -7}
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