15a^2b^3t^4-10ab^5=0

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Solution for 15a^2b^3t^4-10ab^5=0 equation:


Simplifying
15a2b3t4 + -10ab5 = 0

Reorder the terms:
-10ab5 + 15a2b3t4 = 0

Solving
-10ab5 + 15a2b3t4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5ab3'.
5ab3(-2b2 + 3at4) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'ab3' equal to zero and attempt to solve: Simplifying ab3 = 0 Solving ab3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab3 = 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 '(-2b2 + 3at4)' equal to zero and attempt to solve: Simplifying -2b2 + 3at4 = 0 Reorder the terms: 3at4 + -2b2 = 0 Solving 3at4 + -2b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '2b2' to each side of the equation. 3at4 + -2b2 + 2b2 = 0 + 2b2 Combine like terms: -2b2 + 2b2 = 0 3at4 + 0 = 0 + 2b2 3at4 = 0 + 2b2 Remove the zero: 3at4 = 2b2 Divide each side by '3t4'. a = 0.6666666667b2t-4 Simplifying a = 0.6666666667b2t-4

Solution

a = {0.6666666667b2t-4}

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