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Simplifying (6 + x)(1 + x) = 0 Multiply (6 + x) * (1 + x) (6(1 + x) + x(1 + x)) = 0 ((1 * 6 + x * 6) + x(1 + x)) = 0 ((6 + 6x) + x(1 + x)) = 0 (6 + 6x + (1 * x + x * x)) = 0 (6 + 6x + (1x + x2)) = 0 Combine like terms: 6x + 1x = 7x (6 + 7x + x2) = 0 Solving 6 + 7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(1 + x) = 0Subproblem 1
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 = -6Subproblem 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 = {-6, -1}
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