2x^2=-7x

Solution for 2x^2=-7x equation:

Simplifying
2x2 = -7x

Solving
2x2 = -7x

Solving for variable 'x'.

Reorder the terms:
7x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
7x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 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 '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, -3.5}