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Simplifying (4x2 + -5x + 12)(8x + 6) = 0 Reorder the terms: (12 + -5x + 4x2)(8x + 6) = 0 Reorder the terms: (12 + -5x + 4x2)(6 + 8x) = 0 Multiply (12 + -5x + 4x2) * (6 + 8x) (12(6 + 8x) + -5x * (6 + 8x) + 4x2 * (6 + 8x)) = 0 ((6 * 12 + 8x * 12) + -5x * (6 + 8x) + 4x2 * (6 + 8x)) = 0 ((72 + 96x) + -5x * (6 + 8x) + 4x2 * (6 + 8x)) = 0 (72 + 96x + (6 * -5x + 8x * -5x) + 4x2 * (6 + 8x)) = 0 (72 + 96x + (-30x + -40x2) + 4x2 * (6 + 8x)) = 0 (72 + 96x + -30x + -40x2 + (6 * 4x2 + 8x * 4x2)) = 0 (72 + 96x + -30x + -40x2 + (24x2 + 32x3)) = 0 Combine like terms: 96x + -30x = 66x (72 + 66x + -40x2 + 24x2 + 32x3) = 0 Combine like terms: -40x2 + 24x2 = -16x2 (72 + 66x + -16x2 + 32x3) = 0 Solving 72 + 66x + -16x2 + 32x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(36 + 33x + -8x2 + 16x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(36 + 33x + -8x2 + 16x3)' equal to zero and attempt to solve: Simplifying 36 + 33x + -8x2 + 16x3 = 0 Solving 36 + 33x + -8x2 + 16x3 = 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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