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Simplifying x2 + -8x + 196 = 180 Reorder the terms: 196 + -8x + x2 = 180 Solving 196 + -8x + x2 = 180 Solving for variable 'x'. Reorder the terms: 196 + -180 + -8x + x2 = 180 + -180 Combine like terms: 196 + -180 = 16 16 + -8x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 16 + -8x + x2 = 0 Factor a trinomial. (4 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {4, 4}
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