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Simplifying (x + 3)(x + -4) = 3x Reorder the terms: (3 + x)(x + -4) = 3x Reorder the terms: (3 + x)(-4 + x) = 3x Multiply (3 + x) * (-4 + x) (3(-4 + x) + x(-4 + x)) = 3x ((-4 * 3 + x * 3) + x(-4 + x)) = 3x ((-12 + 3x) + x(-4 + x)) = 3x (-12 + 3x + (-4 * x + x * x)) = 3x (-12 + 3x + (-4x + x2)) = 3x Combine like terms: 3x + -4x = -1x (-12 + -1x + x2) = 3x Solving -12 + -1x + x2 = 3x Solving for variable 'x'. Reorder the terms: -12 + -1x + -3x + x2 = 3x + -3x Combine like terms: -1x + -3x = -4x -12 + -4x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -4x + x2 = 0 Factor a trinomial. (-2 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
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 = 6Solution
x = {-2, 6}
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