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Simplifying 2x2 + -22x = -7x2 + -9x + -4 Reorder the terms: -22x + 2x2 = -7x2 + -9x + -4 Reorder the terms: -22x + 2x2 = -4 + -9x + -7x2 Solving -22x + 2x2 = -4 + -9x + -7x2 Solving for variable 'x'. Reorder the terms: 4 + -22x + 9x + 2x2 + 7x2 = -4 + -9x + -7x2 + 4 + 9x + 7x2 Combine like terms: -22x + 9x = -13x 4 + -13x + 2x2 + 7x2 = -4 + -9x + -7x2 + 4 + 9x + 7x2 Combine like terms: 2x2 + 7x2 = 9x2 4 + -13x + 9x2 = -4 + -9x + -7x2 + 4 + 9x + 7x2 Reorder the terms: 4 + -13x + 9x2 = -4 + 4 + -9x + 9x + -7x2 + 7x2 Combine like terms: -4 + 4 = 0 4 + -13x + 9x2 = 0 + -9x + 9x + -7x2 + 7x2 4 + -13x + 9x2 = -9x + 9x + -7x2 + 7x2 Combine like terms: -9x + 9x = 0 4 + -13x + 9x2 = 0 + -7x2 + 7x2 4 + -13x + 9x2 = -7x2 + 7x2 Combine like terms: -7x2 + 7x2 = 0 4 + -13x + 9x2 = 0 Factor a trinomial. (4 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 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 = {0.4444444444, 1}
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