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Simplifying x + 22 = x2 + 4x + 4 Reorder the terms: 22 + x = x2 + 4x + 4 Reorder the terms: 22 + x = 4 + 4x + x2 Solving 22 + x = 4 + 4x + x2 Solving for variable 'x'. Reorder the terms: 22 + -4 + x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: 22 + -4 = 18 18 + x + -4x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Combine like terms: x + -4x = -3x 18 + -3x + -1x2 = 4 + 4x + x2 + -4 + -4x + -1x2 Reorder the terms: 18 + -3x + -1x2 = 4 + -4 + 4x + -4x + x2 + -1x2 Combine like terms: 4 + -4 = 0 18 + -3x + -1x2 = 0 + 4x + -4x + x2 + -1x2 18 + -3x + -1x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 18 + -3x + -1x2 = 0 + x2 + -1x2 18 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -3x + -1x2 = 0 Factor a trinomial. (3 + -1x)(6 + x) = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {3, -6}
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