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Simplifying (5x)(3x + 2)(x + 16) = 180 Remove parenthesis around (5x) 5x(3x + 2)(x + 16) = 180 Reorder the terms: 5x(2 + 3x)(x + 16) = 180 Reorder the terms: 5x(2 + 3x)(16 + x) = 180 Multiply (2 + 3x) * (16 + x) 5x(2(16 + x) + 3x * (16 + x)) = 180 5x((16 * 2 + x * 2) + 3x * (16 + x)) = 180 5x((32 + 2x) + 3x * (16 + x)) = 180 5x(32 + 2x + (16 * 3x + x * 3x)) = 180 5x(32 + 2x + (48x + 3x2)) = 180 Combine like terms: 2x + 48x = 50x 5x(32 + 50x + 3x2) = 180 (32 * 5x + 50x * 5x + 3x2 * 5x) = 180 (160x + 250x2 + 15x3) = 180 Solving 160x + 250x2 + 15x3 = 180 Solving for variable 'x'. Reorder the terms: -180 + 160x + 250x2 + 15x3 = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 160x + 250x2 + 15x3 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-36 + 32x + 50x2 + 3x3) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-36 + 32x + 50x2 + 3x3)' equal to zero and attempt to solve: Simplifying -36 + 32x + 50x2 + 3x3 = 0 Solving -36 + 32x + 50x2 + 3x3 = 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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