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Simplifying (4x + -1)(x + 3) = 0 Reorder the terms: (-1 + 4x)(x + 3) = 0 Reorder the terms: (-1 + 4x)(3 + x) = 0 Multiply (-1 + 4x) * (3 + x) (-1(3 + x) + 4x * (3 + x)) = 0 ((3 * -1 + x * -1) + 4x * (3 + x)) = 0 ((-3 + -1x) + 4x * (3 + x)) = 0 (-3 + -1x + (3 * 4x + x * 4x)) = 0 (-3 + -1x + (12x + 4x2)) = 0 Combine like terms: -1x + 12x = 11x (-3 + 11x + 4x2) = 0 Solving -3 + 11x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(1 + -4x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-3, 0.25}
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