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Simplifying 9x2 + 18x + -4 = 2 + -7x Reorder the terms: -4 + 18x + 9x2 = 2 + -7x Solving -4 + 18x + 9x2 = 2 + -7x Solving for variable 'x'. Reorder the terms: -4 + -2 + 18x + 7x + 9x2 = 2 + -7x + -2 + 7x Combine like terms: -4 + -2 = -6 -6 + 18x + 7x + 9x2 = 2 + -7x + -2 + 7x Combine like terms: 18x + 7x = 25x -6 + 25x + 9x2 = 2 + -7x + -2 + 7x Reorder the terms: -6 + 25x + 9x2 = 2 + -2 + -7x + 7x Combine like terms: 2 + -2 = 0 -6 + 25x + 9x2 = 0 + -7x + 7x -6 + 25x + 9x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 25x + 9x2 = 0 Factor a trinomial. (-3 + -1x)(2 + -9x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Solution
x = {-3, 0.2222222222}
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