f(6a)=5(6a)-2

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Solution for f(6a)=5(6a)-2 equation:


Simplifying
f(6a) = 5(6a) + -2

Remove parenthesis around (6a)
f * 6a = 5(6a) + -2

Reorder the terms for easier multiplication:
6f * a = 5(6a) + -2

Multiply f * a
6af = 5(6a) + -2

Remove parenthesis around (6a)
6af = 5 * 6a + -2

Multiply 5 * 6
6af = 30a + -2

Reorder the terms:
6af = -2 + 30a

Solving
6af = -2 + 30a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-30a' to each side of the equation.
-30a + 6af = -2 + 30a + -30a

Combine like terms: 30a + -30a = 0
-30a + 6af = -2 + 0
-30a + 6af = -2

Reorder the terms:
2 + -30a + 6af = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -30a + 6af = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -15a + 3af) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -15a + 3af)' equal to zero and attempt to solve: Simplifying 1 + -15a + 3af = 0 Solving 1 + -15a + 3af = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -15a + -1 + 3af = 0 + -1 Reorder the terms: 1 + -1 + -15a + 3af = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15a + 3af = 0 + -1 -15a + 3af = 0 + -1 Combine like terms: 0 + -1 = -1 -15a + 3af = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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