-5a^5c^6(7c^2-3a+8)=

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Solution for -5a^5c^6(7c^2-3a+8)= equation:


Simplifying
-5a5c6(7c2 + -3a + 8) = 0

Reorder the terms:
-5a5c6(8 + -3a + 7c2) = 0
(8 * -5a5c6 + -3a * -5a5c6 + 7c2 * -5a5c6) = 0

Reorder the terms:
(-40a5c6 + -35a5c8 + 15a6c6) = 0
(-40a5c6 + -35a5c8 + 15a6c6) = 0

Solving
-40a5c6 + -35a5c8 + 15a6c6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a5c6'.
5a5c6(-8 + -7c2 + 3a) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a5c6' equal to zero and attempt to solve: Simplifying a5c6 = 0 Solving a5c6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a5c6 = 0 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 '(-8 + -7c2 + 3a)' equal to zero and attempt to solve: Simplifying -8 + -7c2 + 3a = 0 Reorder the terms: -8 + 3a + -7c2 = 0 Solving -8 + 3a + -7c2 = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3a + 8 + -7c2 = 0 + 8 Reorder the terms: -8 + 8 + 3a + -7c2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3a + -7c2 = 0 + 8 3a + -7c2 = 0 + 8 Combine like terms: 0 + 8 = 8 3a + -7c2 = 8 Add '7c2' to each side of the equation. 3a + -7c2 + 7c2 = 8 + 7c2 Combine like terms: -7c2 + 7c2 = 0 3a + 0 = 8 + 7c2 3a = 8 + 7c2 Divide each side by '3'. a = 2.666666667 + 2.333333333c2 Simplifying a = 2.666666667 + 2.333333333c2

Solution

a = {2.666666667 + 2.333333333c2}

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