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Simplifying (4x2 + 12x + 10)(-9x2 + 8x + 2) = 0 Reorder the terms: (10 + 12x + 4x2)(-9x2 + 8x + 2) = 0 Reorder the terms: (10 + 12x + 4x2)(2 + 8x + -9x2) = 0 Multiply (10 + 12x + 4x2) * (2 + 8x + -9x2) (10(2 + 8x + -9x2) + 12x * (2 + 8x + -9x2) + 4x2 * (2 + 8x + -9x2)) = 0 ((2 * 10 + 8x * 10 + -9x2 * 10) + 12x * (2 + 8x + -9x2) + 4x2 * (2 + 8x + -9x2)) = 0 ((20 + 80x + -90x2) + 12x * (2 + 8x + -9x2) + 4x2 * (2 + 8x + -9x2)) = 0 (20 + 80x + -90x2 + (2 * 12x + 8x * 12x + -9x2 * 12x) + 4x2 * (2 + 8x + -9x2)) = 0 (20 + 80x + -90x2 + (24x + 96x2 + -108x3) + 4x2 * (2 + 8x + -9x2)) = 0 (20 + 80x + -90x2 + 24x + 96x2 + -108x3 + (2 * 4x2 + 8x * 4x2 + -9x2 * 4x2)) = 0 (20 + 80x + -90x2 + 24x + 96x2 + -108x3 + (8x2 + 32x3 + -36x4)) = 0 Reorder the terms: (20 + 80x + 24x + -90x2 + 96x2 + 8x2 + -108x3 + 32x3 + -36x4) = 0 Combine like terms: 80x + 24x = 104x (20 + 104x + -90x2 + 96x2 + 8x2 + -108x3 + 32x3 + -36x4) = 0 Combine like terms: -90x2 + 96x2 = 6x2 (20 + 104x + 6x2 + 8x2 + -108x3 + 32x3 + -36x4) = 0 Combine like terms: 6x2 + 8x2 = 14x2 (20 + 104x + 14x2 + -108x3 + 32x3 + -36x4) = 0 Combine like terms: -108x3 + 32x3 = -76x3 (20 + 104x + 14x2 + -76x3 + -36x4) = 0 Solving 20 + 104x + 14x2 + -76x3 + -36x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 52x + 7x2 + -38x3 + -18x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 52x + 7x2 + -38x3 + -18x4)' equal to zero and attempt to solve: Simplifying 10 + 52x + 7x2 + -38x3 + -18x4 = 0 Solving 10 + 52x + 7x2 + -38x3 + -18x4 = 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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