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Simplifying x2 + 3x + -5 = 175 Reorder the terms: -5 + 3x + x2 = 175 Solving -5 + 3x + x2 = 175 Solving for variable 'x'. Reorder the terms: -5 + -175 + 3x + x2 = 175 + -175 Combine like terms: -5 + -175 = -180 -180 + 3x + x2 = 175 + -175 Combine like terms: 175 + -175 = 0 -180 + 3x + x2 = 0 Factor a trinomial. (-15 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-15, 12}
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