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Simplifying 9x + 10 = x(x) + 6x Reorder the terms: 10 + 9x = x(x) + 6x Multiply x * x 10 + 9x = x2 + 6x Reorder the terms: 10 + 9x = 6x + x2 Solving 10 + 9x = 6x + x2 Solving for variable 'x'. Combine like terms: 9x + -6x = 3x 10 + 3x + -1x2 = 6x + x2 + -6x + -1x2 Reorder the terms: 10 + 3x + -1x2 = 6x + -6x + x2 + -1x2 Combine like terms: 6x + -6x = 0 10 + 3x + -1x2 = 0 + x2 + -1x2 10 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10 + 3x + -1x2 = 0 Factor a trinomial. (5 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
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 = -2Solution
x = {5, -2}
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