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Simplifying X2 + 18X + 84 = 7 Reorder the terms: 84 + 18X + X2 = 7 Solving 84 + 18X + X2 = 7 Solving for variable 'X'. Reorder the terms: 84 + -7 + 18X + X2 = 7 + -7 Combine like terms: 84 + -7 = 77 77 + 18X + X2 = 7 + -7 Combine like terms: 7 + -7 = 0 77 + 18X + X2 = 0 Factor a trinomial. (11 + X)(7 + X) = 0Subproblem 1
Set the factor '(11 + X)' equal to zero and attempt to solve: Simplifying 11 + X = 0 Solving 11 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + X = 0 + -11 Combine like terms: 11 + -11 = 0 0 + X = 0 + -11 X = 0 + -11 Combine like terms: 0 + -11 = -11 X = -11 Simplifying X = -11Subproblem 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 = {-11, -7}
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