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Simplifying (-7 + -1x)(2 + -1x) + 18 = 0 Multiply (-7 + -1x) * (2 + -1x) (-7(2 + -1x) + -1x * (2 + -1x)) + 18 = 0 ((2 * -7 + -1x * -7) + -1x * (2 + -1x)) + 18 = 0 ((-14 + 7x) + -1x * (2 + -1x)) + 18 = 0 (-14 + 7x + (2 * -1x + -1x * -1x)) + 18 = 0 (-14 + 7x + (-2x + 1x2)) + 18 = 0 Combine like terms: 7x + -2x = 5x (-14 + 5x + 1x2) + 18 = 0 Reorder the terms: -14 + 18 + 5x + 1x2 = 0 Combine like terms: -14 + 18 = 4 4 + 5x + 1x2 = 0 Solving 4 + 5x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(1 + x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-4, -1}
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