0=2x^2-84x

Solution for 0=2x^2-84x equation:

Simplifying
0 = 2x2 + -84x

Reorder the terms:
0 = -84x + 2x2

Solving
0 = -84x + 2x2

Solving for variable 'x'.
Remove the zero:
84x + -2x2 = -84x + 2x2 + 84x + -2x2

Reorder the terms:
84x + -2x2 = -84x + 84x + 2x2 + -2x2

Combine like terms: -84x + 84x = 0
84x + -2x2 = 0 + 2x2 + -2x2
84x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
84x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(42 + -1x) = 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 '(42 + -1x)' equal to zero and attempt to solve:

Simplifying
42 + -1x = 0

Solving
42 + -1x = 0

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

Add '-42' to each side of the equation.
42 + -42 + -1x = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 0 + -42
-1x = 0 + -42

Combine like terms: 0 + -42 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42
Solution
x = {0, 42}