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Simplifying 2x(x + 3) * 2x(x + 3) = 24 Reorder the terms: 2x(3 + x) * 2x(x + 3) = 24 Reorder the terms: 2x(3 + x) * 2x(3 + x) = 24 Reorder the terms for easier multiplication: 2 * 2x * x(3 + x)(3 + x) = 24 Multiply 2 * 2 4x * x(3 + x)(3 + x) = 24 Multiply x * x 4x2(3 + x)(3 + x) = 24 Multiply (3 + x) * (3 + x) 4x2(3(3 + x) + x(3 + x)) = 24 4x2((3 * 3 + x * 3) + x(3 + x)) = 24 4x2((9 + 3x) + x(3 + x)) = 24 4x2(9 + 3x + (3 * x + x * x)) = 24 4x2(9 + 3x + (3x + x2)) = 24 Combine like terms: 3x + 3x = 6x 4x2(9 + 6x + x2) = 24 (9 * 4x2 + 6x * 4x2 + x2 * 4x2) = 24 (36x2 + 24x3 + 4x4) = 24 Solving 36x2 + 24x3 + 4x4 = 24 Solving for variable 'x'. Reorder the terms: -24 + 36x2 + 24x3 + 4x4 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 36x2 + 24x3 + 4x4 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + 9x2 + 6x3 + x4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + 9x2 + 6x3 + x4)' equal to zero and attempt to solve: Simplifying -6 + 9x2 + 6x3 + x4 = 0 Solving -6 + 9x2 + 6x3 + x4 = 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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