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Simplifying (2x + 1)(x + -12) = 0 Reorder the terms: (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 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-0.5, 12}
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