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Simplifying (3x + -1)(x + 5) = 44x + -80 Reorder the terms: (-1 + 3x)(x + 5) = 44x + -80 Reorder the terms: (-1 + 3x)(5 + x) = 44x + -80 Multiply (-1 + 3x) * (5 + x) (-1(5 + x) + 3x * (5 + x)) = 44x + -80 ((5 * -1 + x * -1) + 3x * (5 + x)) = 44x + -80 ((-5 + -1x) + 3x * (5 + x)) = 44x + -80 (-5 + -1x + (5 * 3x + x * 3x)) = 44x + -80 (-5 + -1x + (15x + 3x2)) = 44x + -80 Combine like terms: -1x + 15x = 14x (-5 + 14x + 3x2) = 44x + -80 Reorder the terms: -5 + 14x + 3x2 = -80 + 44x Solving -5 + 14x + 3x2 = -80 + 44x Solving for variable 'x'. Reorder the terms: -5 + 80 + 14x + -44x + 3x2 = -80 + 44x + 80 + -44x Combine like terms: -5 + 80 = 75 75 + 14x + -44x + 3x2 = -80 + 44x + 80 + -44x Combine like terms: 14x + -44x = -30x 75 + -30x + 3x2 = -80 + 44x + 80 + -44x Reorder the terms: 75 + -30x + 3x2 = -80 + 80 + 44x + -44x Combine like terms: -80 + 80 = 0 75 + -30x + 3x2 = 0 + 44x + -44x 75 + -30x + 3x2 = 44x + -44x Combine like terms: 44x + -44x = 0 75 + -30x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(25 + -10x + x2) = 0 Factor a trinomial. 3((5 + -1x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5, 5}
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