(8a-2)(5a^2-3a-1)=0

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Solution for (8a-2)(5a^2-3a-1)=0 equation:


Simplifying
(8a + -2)(5a2 + -3a + -1) = 0

Reorder the terms:
(-2 + 8a)(5a2 + -3a + -1) = 0

Reorder the terms:
(-2 + 8a)(-1 + -3a + 5a2) = 0

Multiply (-2 + 8a) * (-1 + -3a + 5a2)
(-2(-1 + -3a + 5a2) + 8a * (-1 + -3a + 5a2)) = 0
((-1 * -2 + -3a * -2 + 5a2 * -2) + 8a * (-1 + -3a + 5a2)) = 0
((2 + 6a + -10a2) + 8a * (-1 + -3a + 5a2)) = 0
(2 + 6a + -10a2 + (-1 * 8a + -3a * 8a + 5a2 * 8a)) = 0
(2 + 6a + -10a2 + (-8a + -24a2 + 40a3)) = 0

Reorder the terms:
(2 + 6a + -8a + -10a2 + -24a2 + 40a3) = 0

Combine like terms: 6a + -8a = -2a
(2 + -2a + -10a2 + -24a2 + 40a3) = 0

Combine like terms: -10a2 + -24a2 = -34a2
(2 + -2a + -34a2 + 40a3) = 0

Solving
2 + -2a + -34a2 + 40a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -1a + -17a2 + 20a3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -1a + -17a2 + 20a3)' equal to zero and attempt to solve: Simplifying 1 + -1a + -17a2 + 20a3 = 0 Solving 1 + -1a + -17a2 + 20a3 = 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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