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Simplifying (4x + 1)(x + -5) = -56x + -14 Reorder the terms: (1 + 4x)(x + -5) = -56x + -14 Reorder the terms: (1 + 4x)(-5 + x) = -56x + -14 Multiply (1 + 4x) * (-5 + x) (1(-5 + x) + 4x * (-5 + x)) = -56x + -14 ((-5 * 1 + x * 1) + 4x * (-5 + x)) = -56x + -14 ((-5 + 1x) + 4x * (-5 + x)) = -56x + -14 (-5 + 1x + (-5 * 4x + x * 4x)) = -56x + -14 (-5 + 1x + (-20x + 4x2)) = -56x + -14 Combine like terms: 1x + -20x = -19x (-5 + -19x + 4x2) = -56x + -14 Reorder the terms: -5 + -19x + 4x2 = -14 + -56x Solving -5 + -19x + 4x2 = -14 + -56x Solving for variable 'x'. Reorder the terms: -5 + 14 + -19x + 56x + 4x2 = -14 + -56x + 14 + 56x Combine like terms: -5 + 14 = 9 9 + -19x + 56x + 4x2 = -14 + -56x + 14 + 56x Combine like terms: -19x + 56x = 37x 9 + 37x + 4x2 = -14 + -56x + 14 + 56x Reorder the terms: 9 + 37x + 4x2 = -14 + 14 + -56x + 56x Combine like terms: -14 + 14 = 0 9 + 37x + 4x2 = 0 + -56x + 56x 9 + 37x + 4x2 = -56x + 56x Combine like terms: -56x + 56x = 0 9 + 37x + 4x2 = 0 Factor a trinomial. (9 + x)(1 + 4x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 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 = {-9, -0.25}
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