4a^2-60=a

Solution for 4a^2-60=a equation:

Simplifying
4a2 + -60 = a

Reorder the terms:
-60 + 4a2 = a

Solving
-60 + 4a2 = a

Solving for variable 'a'.

Reorder the terms:
-60 + -1a + 4a2 = a + -1a

Combine like terms: a + -1a = 0
-60 + -1a + 4a2 = 0

Factor a trinomial.
(-15 + -4a)(4 + -1a) = 0

Subproblem 1
Set the factor '(-15 + -4a)' equal to zero and attempt to solve:

Simplifying
-15 + -4a = 0

Solving
-15 + -4a = 0

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

Add '15' to each side of the equation.
-15 + 15 + -4a = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -4a = 0 + 15
-4a = 0 + 15

Combine like terms: 0 + 15 = 15
-4a = 15

Divide each side by '-4'.
a = -3.75

Simplifying
a = -3.75
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-3.75, 4}