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Simplifying ((2x + 6) * x(x + 5)) + -30 = 0 Reorder the terms: ((6 + 2x) * x(x + 5)) + -30 = 0 Reorder the terms: ((6 + 2x) * x(5 + x)) + -30 = 0 Reorder the terms for easier multiplication: (x(6 + 2x)(5 + x)) + -30 = 0 Multiply (6 + 2x) * (5 + x) (x(6(5 + x) + 2x * (5 + x))) + -30 = 0 (x((5 * 6 + x * 6) + 2x * (5 + x))) + -30 = 0 (x((30 + 6x) + 2x * (5 + x))) + -30 = 0 (x(30 + 6x + (5 * 2x + x * 2x))) + -30 = 0 (x(30 + 6x + (10x + 2x2))) + -30 = 0 Combine like terms: 6x + 10x = 16x (x(30 + 16x + 2x2)) + -30 = 0 ((30 * x + 16x * x + 2x2 * x)) + -30 = 0 ((30x + 16x2 + 2x3)) + -30 = 0 (30x + 16x2 + 2x3) + -30 = 0 Remove parenthesis around (30x + 16x2 + 2x3) 30x + 16x2 + 2x3 + -30 = 0 Reorder the terms: -30 + 30x + 16x2 + 2x3 = 0 Solving -30 + 30x + 16x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 15x + 8x2 + x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 15x + 8x2 + x3)' equal to zero and attempt to solve: Simplifying -15 + 15x + 8x2 + x3 = 0 Solving -15 + 15x + 8x2 + 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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