25a^2+60af+36f^2=0

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Solution for 25a^2+60af+36f^2=0 equation:


Simplifying
25a2 + 60af + 36f2 = 0

Reorder the terms:
60af + 25a2 + 36f2 = 0

Solving
60af + 25a2 + 36f2 = 0

Solving for variable 'a'.

Factor a trinomial.
(5a + 6f)(5a + 6f) = 0

Subproblem 1

Set the factor '(5a + 6f)' equal to zero and attempt to solve: Simplifying 5a + 6f = 0 Solving 5a + 6f = 0 Move all terms containing a to the left, all other terms to the right. Add '-6f' to each side of the equation. 5a + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 5a + 0 = 0 + -6f 5a = 0 + -6f Remove the zero: 5a = -6f Divide each side by '5'. a = -1.2f Simplifying a = -1.2f

Subproblem 2

Set the factor '(5a + 6f)' equal to zero and attempt to solve: Simplifying 5a + 6f = 0 Solving 5a + 6f = 0 Move all terms containing a to the left, all other terms to the right. Add '-6f' to each side of the equation. 5a + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 5a + 0 = 0 + -6f 5a = 0 + -6f Remove the zero: 5a = -6f Divide each side by '5'. a = -1.2f Simplifying a = -1.2f

Solution

a = {-1.2f, -1.2f}

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