3x^2-14x^2+32=0

Solution for 3x^2-14x^2+32=0 equation:

Simplifying
3x2 + -14x2 + 32 = 0

Reorder the terms:
32 + 3x2 + -14x2 = 0

Combine like terms: 3x2 + -14x2 = -11x2
32 + -11x2 = 0

Solving
32 + -11x2 = 0

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -11x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -11x2 = 0 + -32
-11x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-11x2 = -32

Divide each side by '-11'.
x2 = 2.909090909

Simplifying
x2 = 2.909090909

Take the square root of each side:
x = {-1.705605731, 1.705605731}