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Simplifying (3x2 + 2x + 6)(6x2 + -2) = 0 Reorder the terms: (6 + 2x + 3x2)(6x2 + -2) = 0 Reorder the terms: (6 + 2x + 3x2)(-2 + 6x2) = 0 Multiply (6 + 2x + 3x2) * (-2 + 6x2) (6(-2 + 6x2) + 2x * (-2 + 6x2) + 3x2 * (-2 + 6x2)) = 0 ((-2 * 6 + 6x2 * 6) + 2x * (-2 + 6x2) + 3x2 * (-2 + 6x2)) = 0 ((-12 + 36x2) + 2x * (-2 + 6x2) + 3x2 * (-2 + 6x2)) = 0 (-12 + 36x2 + (-2 * 2x + 6x2 * 2x) + 3x2 * (-2 + 6x2)) = 0 (-12 + 36x2 + (-4x + 12x3) + 3x2 * (-2 + 6x2)) = 0 (-12 + 36x2 + -4x + 12x3 + (-2 * 3x2 + 6x2 * 3x2)) = 0 (-12 + 36x2 + -4x + 12x3 + (-6x2 + 18x4)) = 0 Reorder the terms: (-12 + -4x + 36x2 + -6x2 + 12x3 + 18x4) = 0 Combine like terms: 36x2 + -6x2 = 30x2 (-12 + -4x + 30x2 + 12x3 + 18x4) = 0 Solving -12 + -4x + 30x2 + 12x3 + 18x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -2x + 15x2 + 6x3 + 9x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -2x + 15x2 + 6x3 + 9x4)' equal to zero and attempt to solve: Simplifying -6 + -2x + 15x2 + 6x3 + 9x4 = 0 Solving -6 + -2x + 15x2 + 6x3 + 9x4 = 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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