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Simplifying (x + 7)(x + 11) = 0 Reorder the terms: (7 + x)(x + 11) = 0 Reorder the terms: (7 + x)(11 + x) = 0 Multiply (7 + x) * (11 + x) (7(11 + x) + x(11 + x)) = 0 ((11 * 7 + x * 7) + x(11 + x)) = 0 ((77 + 7x) + x(11 + x)) = 0 (77 + 7x + (11 * x + x * x)) = 0 (77 + 7x + (11x + x2)) = 0 Combine like terms: 7x + 11x = 18x (77 + 18x + x2) = 0 Solving 77 + 18x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + x)(7 + x) = 0Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 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 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-11, -7}
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