x^2-5x^2+6=0

Solution for x^2-5x^2+6=0 equation:

Simplifying
x2 + -5x2 + 6 = 0

Reorder the terms:
6 + x2 + -5x2 = 0

Combine like terms: x2 + -5x2 = -4x2
6 + -4x2 = 0

Solving
6 + -4x2 = 0

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -4x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4x2 = 0 + -6
-4x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4x2 = -6

Divide each side by '-4'.
x2 = 1.5

Simplifying
x2 = 1.5

Take the square root of each side:
x = {-1.224744871, 1.224744871}