x^2+5x*7=0

Solution for x^2+5x*7=0 equation:

Simplifying
x2 + 5x * 7 = 0

Reorder the terms for easier multiplication:
x2 + 5 * 7x = 0

Multiply 5 * 7
x2 + 35x = 0

Reorder the terms:
35x + x2 = 0

Solving
35x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(35 + x) = 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 '(35 + x)' equal to zero and attempt to solve:

Simplifying
35 + x = 0

Solving
35 + x = 0

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

Add '-35' to each side of the equation.
35 + -35 + x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + x = 0 + -35
x = 0 + -35

Combine like terms: 0 + -35 = -35
x = -35

Simplifying
x = -35
Solution
x = {0, -35}