(5a^2b^4-7a^3)(-9ab^6)=0

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Solution for (5a^2b^4-7a^3)(-9ab^6)=0 equation:


Simplifying
(5a2b4 + -7a3)(-9ab6) = 0

Remove parenthesis around (-9ab6)
(5a2b4 + -7a3) * -9ab6 = 0

Reorder the terms for easier multiplication:
-9ab6(5a2b4 + -7a3) = 0
(5a2b4 * -9ab6 + -7a3 * -9ab6) = 0
(-45a3b10 + 63a4b6) = 0

Solving
-45a3b10 + 63a4b6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '9a3b6'.
9a3b6(-5b4 + 7a) = 0

Ignore the factor 9.

Subproblem 1

Set the factor 'a3b6' equal to zero and attempt to solve: Simplifying a3b6 = 0 Solving a3b6 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b6 = 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 '(-5b4 + 7a)' equal to zero and attempt to solve: Simplifying -5b4 + 7a = 0 Reorder the terms: 7a + -5b4 = 0 Solving 7a + -5b4 = 0 Move all terms containing a to the left, all other terms to the right. Add '5b4' to each side of the equation. 7a + -5b4 + 5b4 = 0 + 5b4 Combine like terms: -5b4 + 5b4 = 0 7a + 0 = 0 + 5b4 7a = 0 + 5b4 Remove the zero: 7a = 5b4 Divide each side by '7'. a = 0.7142857143b4 Simplifying a = 0.7142857143b4

Solution

a = {0.7142857143b4}

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