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Simplifying x2 + -12x + 35 = 195 Reorder the terms: 35 + -12x + x2 = 195 Solving 35 + -12x + x2 = 195 Solving for variable 'x'. Reorder the terms: 35 + -195 + -12x + x2 = 195 + -195 Combine like terms: 35 + -195 = -160 -160 + -12x + x2 = 195 + -195 Combine like terms: 195 + -195 = 0 -160 + -12x + x2 = 0 Factor a trinomial. (-8 + -1x)(20 + -1x) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-8, 20}
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