2x^2-9x^2+4=0

Solution for 2x^2-9x^2+4=0 equation:

Simplifying
2x2 + -9x2 + 4 = 0

Reorder the terms:
4 + 2x2 + -9x2 = 0

Combine like terms: 2x2 + -9x2 = -7x2
4 + -7x2 = 0

Solving
4 + -7x2 = 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 + -7x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x2 = 0 + -4
-7x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-7x2 = -4

Divide each side by '-7'.
x2 = 0.5714285714

Simplifying
x2 = 0.5714285714

Take the square root of each side:
x = {-0.755928946, 0.755928946}