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Simplifying (3x2 + 2x + -8) + (9x2 + -8x + 2) = 0 Reorder the terms: (-8 + 2x + 3x2) + (9x2 + -8x + 2) = 0 Remove parenthesis around (-8 + 2x + 3x2) -8 + 2x + 3x2 + (9x2 + -8x + 2) = 0 Reorder the terms: -8 + 2x + 3x2 + (2 + -8x + 9x2) = 0 Remove parenthesis around (2 + -8x + 9x2) -8 + 2x + 3x2 + 2 + -8x + 9x2 = 0 Reorder the terms: -8 + 2 + 2x + -8x + 3x2 + 9x2 = 0 Combine like terms: -8 + 2 = -6 -6 + 2x + -8x + 3x2 + 9x2 = 0 Combine like terms: 2x + -8x = -6x -6 + -6x + 3x2 + 9x2 = 0 Combine like terms: 3x2 + 9x2 = 12x2 -6 + -6x + 12x2 = 0 Solving -6 + -6x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-1 + -1x + 2x2) = 0 Factor a trinomial. 6((-1 + -2x)(1 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5Subproblem 2
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 = 1Solution
x = {-0.5, 1}
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