-1400x=-2x^2

Solution for -1400x=-2x^2 equation:

Simplifying
-1400x = -2x2

Solving
-1400x = -2x2

Solving for variable 'x'.

Combine like terms: -2x2 + 2x2 = 0
-1400x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-700 + 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 '(-700 + x)' equal to zero and attempt to solve:

Simplifying
-700 + x = 0

Solving
-700 + x = 0

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

Add '700' to each side of the equation.
-700 + 700 + x = 0 + 700

Combine like terms: -700 + 700 = 0
0 + x = 0 + 700
x = 0 + 700

Combine like terms: 0 + 700 = 700
x = 700

Simplifying
x = 700
Solution
x = {0, 700}