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Simplifying (5a + 2) * x(2a2 + -2a + 7) = 0 Reorder the terms: (2 + 5a) * x(2a2 + -2a + 7) = 0 Reorder the terms: (2 + 5a) * x(7 + -2a + 2a2) = 0 Reorder the terms for easier multiplication: x(2 + 5a)(7 + -2a + 2a2) = 0 Multiply (2 + 5a) * (7 + -2a + 2a2) x(2(7 + -2a + 2a2) + 5a * (7 + -2a + 2a2)) = 0 x((7 * 2 + -2a * 2 + 2a2 * 2) + 5a * (7 + -2a + 2a2)) = 0 x((14 + -4a + 4a2) + 5a * (7 + -2a + 2a2)) = 0 x(14 + -4a + 4a2 + (7 * 5a + -2a * 5a + 2a2 * 5a)) = 0 x(14 + -4a + 4a2 + (35a + -10a2 + 10a3)) = 0 Reorder the terms: x(14 + -4a + 35a + 4a2 + -10a2 + 10a3) = 0 Combine like terms: -4a + 35a = 31a x(14 + 31a + 4a2 + -10a2 + 10a3) = 0 Combine like terms: 4a2 + -10a2 = -6a2 x(14 + 31a + -6a2 + 10a3) = 0 (14 * x + 31a * x + -6a2 * x + 10a3 * x) = 0 Reorder the terms: (31ax + -6a2x + 10a3x + 14x) = 0 (31ax + -6a2x + 10a3x + 14x) = 0 Solving 31ax + -6a2x + 10a3x + 14x = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'x'. x(31a + -6a2 + 10a3 + 14) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(31a + -6a2 + 10a3 + 14)' equal to zero and attempt to solve: Simplifying 31a + -6a2 + 10a3 + 14 = 0 Reorder the terms: 14 + 31a + -6a2 + 10a3 = 0 Solving 14 + 31a + -6a2 + 10a3 = 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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