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Simplifying (15 + 12x)(4x2 + 5) = 65 Reorder the terms: (15 + 12x)(5 + 4x2) = 65 Multiply (15 + 12x) * (5 + 4x2) (15(5 + 4x2) + 12x * (5 + 4x2)) = 65 ((5 * 15 + 4x2 * 15) + 12x * (5 + 4x2)) = 65 ((75 + 60x2) + 12x * (5 + 4x2)) = 65 (75 + 60x2 + (5 * 12x + 4x2 * 12x)) = 65 (75 + 60x2 + (60x + 48x3)) = 65 Reorder the terms: (75 + 60x + 60x2 + 48x3) = 65 (75 + 60x + 60x2 + 48x3) = 65 Solving 75 + 60x + 60x2 + 48x3 = 65 Solving for variable 'x'. Reorder the terms: 75 + -65 + 60x + 60x2 + 48x3 = 65 + -65 Combine like terms: 75 + -65 = 10 10 + 60x + 60x2 + 48x3 = 65 + -65 Combine like terms: 65 + -65 = 0 10 + 60x + 60x2 + 48x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 30x + 30x2 + 24x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 30x + 30x2 + 24x3)' equal to zero and attempt to solve: Simplifying 5 + 30x + 30x2 + 24x3 = 0 Solving 5 + 30x + 30x2 + 24x3 = 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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