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Simplifying (7x + 10)(x + 20)(2x) = 180 Reorder the terms: (10 + 7x)(x + 20)(2x) = 180 Reorder the terms: (10 + 7x)(20 + x)(2x) = 180 Remove parenthesis around (2x) (10 + 7x)(20 + x) * 2x = 180 Reorder the terms for easier multiplication: 2x(10 + 7x)(20 + x) = 180 Multiply (10 + 7x) * (20 + x) 2x(10(20 + x) + 7x * (20 + x)) = 180 2x((20 * 10 + x * 10) + 7x * (20 + x)) = 180 2x((200 + 10x) + 7x * (20 + x)) = 180 2x(200 + 10x + (20 * 7x + x * 7x)) = 180 2x(200 + 10x + (140x + 7x2)) = 180 Combine like terms: 10x + 140x = 150x 2x(200 + 150x + 7x2) = 180 (200 * 2x + 150x * 2x + 7x2 * 2x) = 180 (400x + 300x2 + 14x3) = 180 Solving 400x + 300x2 + 14x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + 400x + 300x2 + 14x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 400x + 300x2 + 14x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-90 + 200x + 150x2 + 7x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-90 + 200x + 150x2 + 7x3)' equal to zero and attempt to solve: Simplifying -90 + 200x + 150x2 + 7x3 = 0 Solving -90 + 200x + 150x2 + 7x3 = 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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