7X^2-28X+28=0

Solution for 7X^2-28X+28=0 equation:

Simplifying
7X2 + -28X + 28 = 0

Reorder the terms:
28 + -28X + 7X2 = 0

Solving
28 + -28X + 7X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '7'.
7(4 + -4X + X2) = 0

Factor a trinomial.
7((2 + -1X)(2 + -1X)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(2 + -1X)' equal to zero and attempt to solve:

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

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

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1X = 0 + -2
-1X = 0 + -2

Combine like terms: 0 + -2 = -2
-1X = -2

Divide each side by '-1'.
X = 2

Simplifying
X = 2
Solution
X = {2, 2}