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Simplifying 9x + -1(2x + 8) * 5x + -22 = 0 Reorder the terms: 9x + -1(8 + 2x) * 5x + -22 = 0 Reorder the terms for easier multiplication: 9x + -1 * 5x(8 + 2x) + -22 = 0 Multiply -1 * 5 9x + -5x(8 + 2x) + -22 = 0 9x + (8 * -5x + 2x * -5x) + -22 = 0 9x + (-40x + -10x2) + -22 = 0 Reorder the terms: -22 + 9x + -40x + -10x2 = 0 Combine like terms: 9x + -40x = -31x -22 + -31x + -10x2 = 0 Solving -22 + -31x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(22 + 31x + 10x2) = 0 Factor a trinomial. -1((2 + x)(11 + 10x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(11 + 10x)' equal to zero and attempt to solve: Simplifying 11 + 10x = 0 Solving 11 + 10x = 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 + 10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 0 + -11 10x = 0 + -11 Combine like terms: 0 + -11 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1Solution
x = {-2, -1.1}
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