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Simplifying 9(x + 2)(x + 2) + -44(x + 2) = 0 Reorder the terms: 9(2 + x)(x + 2) + -44(x + 2) = 0 Reorder the terms: 9(2 + x)(2 + x) + -44(x + 2) = 0 Multiply (2 + x) * (2 + x) 9(2(2 + x) + x(2 + x)) + -44(x + 2) = 0 9((2 * 2 + x * 2) + x(2 + x)) + -44(x + 2) = 0 9((4 + 2x) + x(2 + x)) + -44(x + 2) = 0 9(4 + 2x + (2 * x + x * x)) + -44(x + 2) = 0 9(4 + 2x + (2x + x2)) + -44(x + 2) = 0 Combine like terms: 2x + 2x = 4x 9(4 + 4x + x2) + -44(x + 2) = 0 (4 * 9 + 4x * 9 + x2 * 9) + -44(x + 2) = 0 (36 + 36x + 9x2) + -44(x + 2) = 0 Reorder the terms: 36 + 36x + 9x2 + -44(2 + x) = 0 36 + 36x + 9x2 + (2 * -44 + x * -44) = 0 36 + 36x + 9x2 + (-88 + -44x) = 0 Reorder the terms: 36 + -88 + 36x + -44x + 9x2 = 0 Combine like terms: 36 + -88 = -52 -52 + 36x + -44x + 9x2 = 0 Combine like terms: 36x + -44x = -8x -52 + -8x + 9x2 = 0 Solving -52 + -8x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(26 + -9x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(26 + -9x)' equal to zero and attempt to solve: Simplifying 26 + -9x = 0 Solving 26 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -9x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 0 + -26 -9x = 0 + -26 Combine like terms: 0 + -26 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889Solution
x = {-2, 2.888888889}
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