2x^2-13x+42=42

Solution for 2x^2-13x+42=42 equation:

Simplifying
2x2 + -13x + 42 = 42

Reorder the terms:
42 + -13x + 2x2 = 42

Add '-42' to each side of the equation.
42 + -13x + -42 + 2x2 = 42 + -42

Reorder the terms:
42 + -42 + -13x + 2x2 = 42 + -42

Combine like terms: 42 + -42 = 0
0 + -13x + 2x2 = 42 + -42
-13x + 2x2 = 42 + -42

Combine like terms: 42 + -42 = 0
-13x + 2x2 = 0

Solving
-13x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13 + 2x) = 0

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 '(-13 + 2x)' equal to zero and attempt to solve:

Simplifying
-13 + 2x = 0

Solving
-13 + 2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 0 + 13
2x = 0 + 13

Combine like terms: 0 + 13 = 13
2x = 13

Divide each side by '2'.
x = 6.5

Simplifying
x = 6.5
Solution
x = {0, 6.5}