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Simplifying x2 + 14x + 4 = 180 Reorder the terms: 4 + 14x + x2 = 180 Solving 4 + 14x + x2 = 180 Solving for variable 'x'. Reorder the terms: 4 + -180 + 14x + x2 = 180 + -180 Combine like terms: 4 + -180 = -176 -176 + 14x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -176 + 14x + x2 = 0 Factor a trinomial. (-22 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve: Simplifying -22 + -1x = 0 Solving -22 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -1x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = 0 + 22 -1x = 0 + 22 Combine like terms: 0 + 22 = 22 -1x = 22 Divide each side by '-1'. x = -22 Simplifying x = -22Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-22, 8}
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