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Simplifying x(x + -9) + 2x + 4 = (-1x) + -5 Reorder the terms: x(-9 + x) + 2x + 4 = (-1x) + -5 (-9 * x + x * x) + 2x + 4 = (-1x) + -5 (-9x + x2) + 2x + 4 = (-1x) + -5 Reorder the terms: 4 + -9x + 2x + x2 = (-1x) + -5 Combine like terms: -9x + 2x = -7x 4 + -7x + x2 = (-1x) + -5 Reorder the terms: 4 + -7x + x2 = -5 + (-1x) Solving 4 + -7x + x2 = -5 + (-1x) Solving for variable 'x'. 4 + -7x + x2 + 5 + x = -5 + (-1x) + 5 + (x) Reorder the terms: 4 + 5 + -7x + x + x2 = -5 + (-1x) + 5 + (x) Combine like terms: 4 + 5 = 9 9 + -7x + x + x2 = -5 + (-1x) + 5 + (x) Combine like terms: -7x + x = -6x 9 + -6x + x2 = -5 + (-1x) + 5 + (x) 9 + -6x + x2 = -5 + (-1x) + 5 + x Reorder the terms: 9 + -6x + x2 = -5 + 5 + (-1x) + x Combine like terms: -5 + 5 = 0 9 + -6x + x2 = 0 + (-1x) + x 9 + -6x + x2 = (-1x) + x Combine like terms: (-1x) + x = 0 9 + -6x + x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 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 '(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 = 3Solution
x = {3, 3}
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