0=x^2+34x^2-165

Solution for 0=x^2+34x^2-165 equation:

Simplifying
0 = x2 + 34x2 + -165

Reorder the terms:
0 = -165 + x2 + 34x2

Combine like terms: x2 + 34x2 = 35x2
0 = -165 + 35x2

Solving
0 = -165 + 35x2

Solving for variable 'x'.

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

Add '-35x2' to each side of the equation.
0 + -35x2 = -165 + 35x2 + -35x2
Remove the zero:
-35x2 = -165 + 35x2 + -35x2

Combine like terms: 35x2 + -35x2 = 0
-35x2 = -165 + 0
-35x2 = -165

Divide each side by '-35'.
x2 = 4.714285714

Simplifying
x2 = 4.714285714

Take the square root of each side:
x = {-2.171240593, 2.171240593}