7a^5=-1512a^2

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Solution for 7a^5=-1512a^2 equation:


Simplifying
7a5 = -1512a2

Solving
7a5 = -1512a2

Solving for variable 'a'.

Reorder the terms:
1512a2 + 7a5 = -1512a2 + 1512a2

Combine like terms: -1512a2 + 1512a2 = 0
1512a2 + 7a5 = 0

Factor out the Greatest Common Factor (GCF), '7a2'.
7a2(216 + a3) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(216 + a3)' equal to zero and attempt to solve: Simplifying 216 + a3 = 0 Solving 216 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + a3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + a3 = 0 + -216 a3 = 0 + -216 Combine like terms: 0 + -216 = -216 a3 = -216 Simplifying a3 = -216 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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