a^10(3a^3)+5a^13(a^7-2)=

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Solution for a^10(3a^3)+5a^13(a^7-2)= equation:


Simplifying
a10(3a3) + 5a13(a7 + -2) = 0

Remove parenthesis around (3a3)
a10 * 3a3 + 5a13(a7 + -2) = 0

Reorder the terms for easier multiplication:
3a10 * a3 + 5a13(a7 + -2) = 0

Multiply a10 * a3
3a13 + 5a13(a7 + -2) = 0

Reorder the terms:
3a13 + 5a13(-2 + a7) = 0
3a13 + (-2 * 5a13 + a7 * 5a13) = 0
3a13 + (-10a13 + 5a20) = 0

Combine like terms: 3a13 + -10a13 = -7a13
-7a13 + 5a20 = 0

Solving
-7a13 + 5a20 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a13'.
a13(-7 + 5a7) = 0

Subproblem 1

Set the factor 'a13' equal to zero and attempt to solve: Simplifying a13 = 0 Solving a13 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a13 = 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 '(-7 + 5a7)' equal to zero and attempt to solve: Simplifying -7 + 5a7 = 0 Solving -7 + 5a7 = 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 + 5a7 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5a7 = 0 + 7 5a7 = 0 + 7 Combine like terms: 0 + 7 = 7 5a7 = 7 Divide each side by '5'. a7 = 1.4 Simplifying a7 = 1.4 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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