4x^2-5x^2+4=0

Solution for 4x^2-5x^2+4=0 equation:

Simplifying
4x2 + -5x2 + 4 = 0

Reorder the terms:
4 + 4x2 + -5x2 = 0

Combine like terms: 4x2 + -5x2 = -1x2
4 + -1x2 = 0

Solving
4 + -1x2 = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x2 = 0 + -4
-1x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1x2 = -4

Divide each side by '-1'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}