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Simplifying (-5x2 + -5x + 7) + (2x2 + -1x + 2) = 0 Reorder the terms: (7 + -5x + -5x2) + (2x2 + -1x + 2) = 0 Remove parenthesis around (7 + -5x + -5x2) 7 + -5x + -5x2 + (2x2 + -1x + 2) = 0 Reorder the terms: 7 + -5x + -5x2 + (2 + -1x + 2x2) = 0 Remove parenthesis around (2 + -1x + 2x2) 7 + -5x + -5x2 + 2 + -1x + 2x2 = 0 Reorder the terms: 7 + 2 + -5x + -1x + -5x2 + 2x2 = 0 Combine like terms: 7 + 2 = 9 9 + -5x + -1x + -5x2 + 2x2 = 0 Combine like terms: -5x + -1x = -6x 9 + -6x + -5x2 + 2x2 = 0 Combine like terms: -5x2 + 2x2 = -3x2 9 + -6x + -3x2 = 0 Solving 9 + -6x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -2x + -1x2) = 0 Factor a trinomial. 3((1 + -1x)(3 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1, -3}
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