2x^2-102x+3=3

Solution for 2x^2-102x+3=3 equation:

Simplifying
2x2 + -102x + 3 = 3

Reorder the terms:
3 + -102x + 2x2 = 3

Add '-3' to each side of the equation.
3 + -102x + -3 + 2x2 = 3 + -3

Reorder the terms:
3 + -3 + -102x + 2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -102x + 2x2 = 3 + -3
-102x + 2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-102x + 2x2 = 0

Solving
-102x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-51 + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-51 + x)' equal to zero and attempt to solve:

Simplifying
-51 + x = 0

Solving
-51 + x = 0

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

Add '51' to each side of the equation.
-51 + 51 + x = 0 + 51

Combine like terms: -51 + 51 = 0
0 + x = 0 + 51
x = 0 + 51

Combine like terms: 0 + 51 = 51
x = 51

Simplifying
x = 51
Solution
x = {0, 51}