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Simplifying (4x + 1)(-1x + -3) = 0 Reorder the terms: (1 + 4x)(-1x + -3) = 0 Reorder the terms: (1 + 4x)(-3 + -1x) = 0 Multiply (1 + 4x) * (-3 + -1x) (1(-3 + -1x) + 4x * (-3 + -1x)) = 0 ((-3 * 1 + -1x * 1) + 4x * (-3 + -1x)) = 0 ((-3 + -1x) + 4x * (-3 + -1x)) = 0 (-3 + -1x + (-3 * 4x + -1x * 4x)) = 0 (-3 + -1x + (-12x + -4x2)) = 0 Combine like terms: -1x + -12x = -13x (-3 + -13x + -4x2) = 0 Solving -3 + -13x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 13x + 4x2) = 0 Factor a trinomial. -1((3 + x)(1 + 4x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 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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