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Simplifying (x + 4)(5x + -1) = -16 Reorder the terms: (4 + x)(5x + -1) = -16 Reorder the terms: (4 + x)(-1 + 5x) = -16 Multiply (4 + x) * (-1 + 5x) (4(-1 + 5x) + x(-1 + 5x)) = -16 ((-1 * 4 + 5x * 4) + x(-1 + 5x)) = -16 ((-4 + 20x) + x(-1 + 5x)) = -16 (-4 + 20x + (-1 * x + 5x * x)) = -16 (-4 + 20x + (-1x + 5x2)) = -16 Combine like terms: 20x + -1x = 19x (-4 + 19x + 5x2) = -16 Solving -4 + 19x + 5x2 = -16 Solving for variable 'x'. Reorder the terms: -4 + 16 + 19x + 5x2 = -16 + 16 Combine like terms: -4 + 16 = 12 12 + 19x + 5x2 = -16 + 16 Combine like terms: -16 + 16 = 0 12 + 19x + 5x2 = 0 Factor a trinomial. (3 + x)(4 + 5x) = 0Subproblem 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 '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-3, -0.8}
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