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Simplifying 3x2 + -1x + 50 + -2x2 + 3x + 10 = 180 Reorder the terms: 50 + 10 + -1x + 3x + 3x2 + -2x2 = 180 Combine like terms: 50 + 10 = 60 60 + -1x + 3x + 3x2 + -2x2 = 180 Combine like terms: -1x + 3x = 2x 60 + 2x + 3x2 + -2x2 = 180 Combine like terms: 3x2 + -2x2 = 1x2 60 + 2x + 1x2 = 180 Solving 60 + 2x + 1x2 = 180 Solving for variable 'x'. Reorder the terms: 60 + -180 + 2x + 1x2 = 180 + -180 Combine like terms: 60 + -180 = -120 -120 + 2x + 1x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -120 + 2x + 1x2 = 0 Factor a trinomial. (-12 + -1x)(10 + -1x) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-12, 10}
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