1X^2=-12+7X

Solution for 1X^2=-12+7X equation:

Simplifying
1X2 = -12 + 7X

Solving
1X2 = -12 + 7X

Solving for variable 'X'.

Reorder the terms:
12 + -7X + 1X2 = -12 + 7X + 12 + -7X

Reorder the terms:
12 + -7X + 1X2 = -12 + 12 + 7X + -7X

Combine like terms: -12 + 12 = 0
12 + -7X + 1X2 = 0 + 7X + -7X
12 + -7X + 1X2 = 7X + -7X

Combine like terms: 7X + -7X = 0
12 + -7X + 1X2 = 0

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

Subproblem 1
Set the factor '(3 + -1X)' equal to zero and attempt to solve:

Simplifying
3 + -1X = 0

Solving
3 + -1X = 0

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

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

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

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

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

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

Simplifying
4 + -1X = 0

Solving
4 + -1X = 0

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

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

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

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

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

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