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Simplifying (4x + -1)(x + 5) = -5 Reorder the terms: (-1 + 4x)(x + 5) = -5 Reorder the terms: (-1 + 4x)(5 + x) = -5 Multiply (-1 + 4x) * (5 + x) (-1(5 + x) + 4x * (5 + x)) = -5 ((5 * -1 + x * -1) + 4x * (5 + x)) = -5 ((-5 + -1x) + 4x * (5 + x)) = -5 (-5 + -1x + (5 * 4x + x * 4x)) = -5 (-5 + -1x + (20x + 4x2)) = -5 Combine like terms: -1x + 20x = 19x (-5 + 19x + 4x2) = -5 Add '5' to each side of the equation. -5 + 19x + 5 + 4x2 = -5 + 5 Reorder the terms: -5 + 5 + 19x + 4x2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + 19x + 4x2 = -5 + 5 19x + 4x2 = -5 + 5 Combine like terms: -5 + 5 = 0 19x + 4x2 = 0 Solving 19x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(19 + 4x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(19 + 4x)' equal to zero and attempt to solve: Simplifying 19 + 4x = 0 Solving 19 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 4x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 0 + -19 4x = 0 + -19 Combine like terms: 0 + -19 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75Solution
x = {0, -4.75}
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