-12=a^2-7a

Solution for -12=a^2-7a equation:

Simplifying
-12 = a2 + -7a

Reorder the terms:
-12 = -7a + a2

Solving
-12 = -7a + a2

Solving for variable 'a'.

Reorder the terms:
-12 + 7a + -1a2 = -7a + 7a + a2 + -1a2

Combine like terms: -7a + 7a = 0
-12 + 7a + -1a2 = 0 + a2 + -1a2
-12 + 7a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-12 + 7a + -1a2 = 0

Factor a trinomial.
(-4 + a)(3 + -1a) = 0

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

Simplifying
-4 + a = 0

Solving
-4 + a = 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 + a = 0 + 4

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

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

Simplifying
a = 4
Subproblem 2
Set the factor '(3 + -1a)' equal to zero and attempt to solve:

Simplifying
3 + -1a = 0

Solving
3 + -1a = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1a = 0 + -3
-1a = 0 + -3

Combine like terms: 0 + -3 = -3
-1a = -3

Divide each side by '-1'.
a = 3

Simplifying
a = 3
Solution
a = {4, 3}