X*X=4X-3

Solution for X*X=4X-3 equation:

Simplifying
X * X = 4X + -3

Multiply X * X
X2 = 4X + -3

Reorder the terms:
X2 = -3 + 4X

Solving
X2 = -3 + 4X

Solving for variable 'X'.

Reorder the terms:
3 + -4X + X2 = -3 + 4X + 3 + -4X

Reorder the terms:
3 + -4X + X2 = -3 + 3 + 4X + -4X

Combine like terms: -3 + 3 = 0
3 + -4X + X2 = 0 + 4X + -4X
3 + -4X + X2 = 4X + -4X

Combine like terms: 4X + -4X = 0
3 + -4X + X2 = 0

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

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

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

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

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

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

Simplifying
X = 1
Subproblem 2
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
Solution
X = {1, 3}