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Simplifying (7x2 + 3x + -9) + (2x2 + -5x + -2) = 0 Reorder the terms: (-9 + 3x + 7x2) + (2x2 + -5x + -2) = 0 Remove parenthesis around (-9 + 3x + 7x2) -9 + 3x + 7x2 + (2x2 + -5x + -2) = 0 Reorder the terms: -9 + 3x + 7x2 + (-2 + -5x + 2x2) = 0 Remove parenthesis around (-2 + -5x + 2x2) -9 + 3x + 7x2 + -2 + -5x + 2x2 = 0 Reorder the terms: -9 + -2 + 3x + -5x + 7x2 + 2x2 = 0 Combine like terms: -9 + -2 = -11 -11 + 3x + -5x + 7x2 + 2x2 = 0 Combine like terms: 3x + -5x = -2x -11 + -2x + 7x2 + 2x2 = 0 Combine like terms: 7x2 + 2x2 = 9x2 -11 + -2x + 9x2 = 0 Solving -11 + -2x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(11 + -9x) = 0Subproblem 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 '(11 + -9x)' equal to zero and attempt to solve: Simplifying 11 + -9x = 0 Solving 11 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 0 + -11 -9x = 0 + -11 Combine like terms: 0 + -11 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222Solution
x = {-1, 1.222222222}
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