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Simplifying 5a(-2a2 + -1) + (-3a)(-6a2 + -4) = 0 Reorder the terms: 5a(-1 + -2a2) + (-3a)(-6a2 + -4) = 0 (-1 * 5a + -2a2 * 5a) + (-3a)(-6a2 + -4) = 0 (-5a + -10a3) + (-3a)(-6a2 + -4) = 0 Remove parenthesis around (-3a) -5a + -10a3 + -3a(-6a2 + -4) = 0 Reorder the terms: -5a + -10a3 + -3a(-4 + -6a2) = 0 -5a + -10a3 + (-4 * -3a + -6a2 * -3a) = 0 -5a + -10a3 + (12a + 18a3) = 0 Reorder the terms: -5a + 12a + -10a3 + 18a3 = 0 Combine like terms: -5a + 12a = 7a 7a + -10a3 + 18a3 = 0 Combine like terms: -10a3 + 18a3 = 8a3 7a + 8a3 = 0 Solving 7a + 8a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(7 + 8a2) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(7 + 8a2)' equal to zero and attempt to solve: Simplifying 7 + 8a2 = 0 Solving 7 + 8a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8a2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8a2 = 0 + -7 8a2 = 0 + -7 Combine like terms: 0 + -7 = -7 8a2 = -7 Divide each side by '8'. a2 = -0.875 Simplifying a2 = -0.875 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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