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Simplifying (x + 15)(x + 5)(10x + -20) = 180 Reorder the terms: (15 + x)(x + 5)(10x + -20) = 180 Reorder the terms: (15 + x)(5 + x)(10x + -20) = 180 Reorder the terms: (15 + x)(5 + x)(-20 + 10x) = 180 Multiply (15 + x) * (5 + x) (15(5 + x) + x(5 + x))(-20 + 10x) = 180 ((5 * 15 + x * 15) + x(5 + x))(-20 + 10x) = 180 ((75 + 15x) + x(5 + x))(-20 + 10x) = 180 (75 + 15x + (5 * x + x * x))(-20 + 10x) = 180 (75 + 15x + (5x + x2))(-20 + 10x) = 180 Combine like terms: 15x + 5x = 20x (75 + 20x + x2)(-20 + 10x) = 180 Multiply (75 + 20x + x2) * (-20 + 10x) (75(-20 + 10x) + 20x * (-20 + 10x) + x2(-20 + 10x)) = 180 ((-20 * 75 + 10x * 75) + 20x * (-20 + 10x) + x2(-20 + 10x)) = 180 ((-1500 + 750x) + 20x * (-20 + 10x) + x2(-20 + 10x)) = 180 (-1500 + 750x + (-20 * 20x + 10x * 20x) + x2(-20 + 10x)) = 180 (-1500 + 750x + (-400x + 200x2) + x2(-20 + 10x)) = 180 (-1500 + 750x + -400x + 200x2 + (-20 * x2 + 10x * x2)) = 180 (-1500 + 750x + -400x + 200x2 + (-20x2 + 10x3)) = 180 Combine like terms: 750x + -400x = 350x (-1500 + 350x + 200x2 + -20x2 + 10x3) = 180 Combine like terms: 200x2 + -20x2 = 180x2 (-1500 + 350x + 180x2 + 10x3) = 180 Solving -1500 + 350x + 180x2 + 10x3 = 180 Solving for variable 'x'. Reorder the terms: -1500 + -180 + 350x + 180x2 + 10x3 = 180 + -180 Combine like terms: -1500 + -180 = -1680 -1680 + 350x + 180x2 + 10x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -1680 + 350x + 180x2 + 10x3 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-168 + 35x + 18x2 + x3) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-168 + 35x + 18x2 + x3)' equal to zero and attempt to solve: Simplifying -168 + 35x + 18x2 + x3 = 0 Solving -168 + 35x + 18x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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