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Simplifying (2x2 + 3x + -5) + (x2 + 11x + -7) = 180 Reorder the terms: (-5 + 3x + 2x2) + (x2 + 11x + -7) = 180 Remove parenthesis around (-5 + 3x + 2x2) -5 + 3x + 2x2 + (x2 + 11x + -7) = 180 Reorder the terms: -5 + 3x + 2x2 + (-7 + 11x + x2) = 180 Remove parenthesis around (-7 + 11x + x2) -5 + 3x + 2x2 + -7 + 11x + x2 = 180 Reorder the terms: -5 + -7 + 3x + 11x + 2x2 + x2 = 180 Combine like terms: -5 + -7 = -12 -12 + 3x + 11x + 2x2 + x2 = 180 Combine like terms: 3x + 11x = 14x -12 + 14x + 2x2 + x2 = 180 Combine like terms: 2x2 + x2 = 3x2 -12 + 14x + 3x2 = 180 Solving -12 + 14x + 3x2 = 180 Solving for variable 'x'. Reorder the terms: -12 + -180 + 14x + 3x2 = 180 + -180 Combine like terms: -12 + -180 = -192 -192 + 14x + 3x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -192 + 14x + 3x2 = 0 Factor a trinomial. (-32 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve: Simplifying -32 + -3x = 0 Solving -32 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -3x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = 0 + 32 -3x = 0 + 32 Combine like terms: 0 + 32 = 32 -3x = 32 Divide each side by '-3'. x = -10.66666667 Simplifying x = -10.66666667Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-10.66666667, 6}
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