56a^2b+5ab-25b=0

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Solution for 56a^2b+5ab-25b=0 equation:


Simplifying
56a2b + 5ab + -25b = 0

Reorder the terms:
5ab + 56a2b + -25b = 0

Solving
5ab + 56a2b + -25b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(5a + 56a2 + -25) = 0

Factor a trinomial.
b((8a + -5)(7a + 5)) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b = 0 + -1b Remove the zero: 0 = -1b Simplifying 0 = -1b 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 '(8a + -5)' equal to zero and attempt to solve: Simplifying 8a + -5 = 0 Reorder the terms: -5 + 8a = 0 Solving -5 + 8a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8a = 0 + 5 8a = 0 + 5 Combine like terms: 0 + 5 = 5 8a = 5 Divide each side by '8'. a = 0.625 Simplifying a = 0.625

Subproblem 3

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

Solution

a = {0.625, -0.7142857143}

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