81a^2-180af+100f^2=

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Solution for 81a^2-180af+100f^2= equation:


Simplifying
81a2 + -180af + 100f2 = 0

Reorder the terms:
-180af + 81a2 + 100f2 = 0

Solving
-180af + 81a2 + 100f2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9a + -10f)(9a + -10f) = 0

Subproblem 1

Set the factor '(9a + -10f)' equal to zero and attempt to solve: Simplifying 9a + -10f = 0 Solving 9a + -10f = 0 Move all terms containing a to the left, all other terms to the right. Add '10f' to each side of the equation. 9a + -10f + 10f = 0 + 10f Combine like terms: -10f + 10f = 0 9a + 0 = 0 + 10f 9a = 0 + 10f Remove the zero: 9a = 10f Divide each side by '9'. a = 1.111111111f Simplifying a = 1.111111111f

Subproblem 2

Set the factor '(9a + -10f)' equal to zero and attempt to solve: Simplifying 9a + -10f = 0 Solving 9a + -10f = 0 Move all terms containing a to the left, all other terms to the right. Add '10f' to each side of the equation. 9a + -10f + 10f = 0 + 10f Combine like terms: -10f + 10f = 0 9a + 0 = 0 + 10f 9a = 0 + 10f Remove the zero: 9a = 10f Divide each side by '9'. a = 1.111111111f Simplifying a = 1.111111111f

Solution

a = {1.111111111f, 1.111111111f}

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