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Simplifying (1 + -2x)(x + 12) = 0 Reorder the terms: (1 + -2x)(12 + x) = 0 Multiply (1 + -2x) * (12 + x) (1(12 + x) + -2x * (12 + x)) = 0 ((12 * 1 + x * 1) + -2x * (12 + x)) = 0 ((12 + 1x) + -2x * (12 + x)) = 0 (12 + 1x + (12 * -2x + x * -2x)) = 0 (12 + 1x + (-24x + -2x2)) = 0 Combine like terms: 1x + -24x = -23x (12 + -23x + -2x2) = 0 Solving 12 + -23x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -2x)(12 + x) = 0Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {0.5, -12}
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