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Simplifying (6 + -1x)(2 + x) = 0 Multiply (6 + -1x) * (2 + x) (6(2 + x) + -1x * (2 + x)) = 0 ((2 * 6 + x * 6) + -1x * (2 + x)) = 0 ((12 + 6x) + -1x * (2 + x)) = 0 (12 + 6x + (2 * -1x + x * -1x)) = 0 (12 + 6x + (-2x + -1x2)) = 0 Combine like terms: 6x + -2x = 4x (12 + 4x + -1x2) = 0 Solving 12 + 4x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {6, -2}
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