2x^2=-98x

Solution for 2x^2=-98x equation:

Simplifying
2x2 = -98x

Solving
2x2 = -98x

Solving for variable 'x'.

Reorder the terms:
98x + 2x2 = -98x + 98x

Combine like terms: -98x + 98x = 0
98x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(49 + 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 '(49 + x)' equal to zero and attempt to solve:

Simplifying
49 + x = 0

Solving
49 + x = 0

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

Add '-49' to each side of the equation.
49 + -49 + x = 0 + -49

Combine like terms: 49 + -49 = 0
0 + x = 0 + -49
x = 0 + -49

Combine like terms: 0 + -49 = -49
x = -49

Simplifying
x = -49
Solution
x = {0, -49}