7x^2+43x=0

Solution for 7x^2+43x=0 equation:

Simplifying
7x2 + 43x = 0

Reorder the terms:
43x + 7x2 = 0

Solving
43x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(43 + 7x) = 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 '(43 + 7x)' equal to zero and attempt to solve:

Simplifying
43 + 7x = 0

Solving
43 + 7x = 0

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

Add '-43' to each side of the equation.
43 + -43 + 7x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 7x = 0 + -43
7x = 0 + -43

Combine like terms: 0 + -43 = -43
7x = -43

Divide each side by '7'.
x = -6.142857143

Simplifying
x = -6.142857143
Solution
x = {0, -6.142857143}