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Simplifying 4x(n + 2) * x(n + 5) = 280 Reorder the terms: 4x(2 + n) * x(n + 5) = 280 Reorder the terms: 4x(2 + n) * x(5 + n) = 280 Reorder the terms for easier multiplication: 4x * x(2 + n)(5 + n) = 280 Multiply x * x 4x2(2 + n)(5 + n) = 280 Multiply (2 + n) * (5 + n) 4x2(2(5 + n) + n(5 + n)) = 280 4x2((5 * 2 + n * 2) + n(5 + n)) = 280 4x2((10 + 2n) + n(5 + n)) = 280 4x2(10 + 2n + (5 * n + n * n)) = 280 4x2(10 + 2n + (5n + n2)) = 280 Combine like terms: 2n + 5n = 7n 4x2(10 + 7n + n2) = 280 (10 * 4x2 + 7n * 4x2 + n2 * 4x2) = 280 Reorder the terms: (28nx2 + 4n2x2 + 40x2) = 280 (28nx2 + 4n2x2 + 40x2) = 280 Solving 28nx2 + 4n2x2 + 40x2 = 280 Solving for variable 'n'. Reorder the terms: -280 + 28nx2 + 4n2x2 + 40x2 = 280 + -280 Combine like terms: 280 + -280 = 0 -280 + 28nx2 + 4n2x2 + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-70 + 7nx2 + n2x2 + 10x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-70 + 7nx2 + n2x2 + 10x2)' equal to zero and attempt to solve: Simplifying -70 + 7nx2 + n2x2 + 10x2 = 0 Solving -70 + 7nx2 + n2x2 + 10x2 = 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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