4x^2+5y-6=0

Solution for 4x^2+5y-6=0 equation:

Simplifying
4x2 + 5y + -6 = 0

Reorder the terms:
-6 + 4x2 + 5y = 0

Solving
-6 + 4x2 + 5y = 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 + 4x2 + 6 + 5y = 0 + 6

Reorder the terms:
-6 + 6 + 4x2 + 5y = 0 + 6

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

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

Add '-5y' to each side of the equation.
4x2 + 5y + -5y = 6 + -5y

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

Divide each side by '4'.
x2 = 1.5 + -1.25y

Simplifying
x2 = 1.5 + -1.25y

Reorder the terms:
-1.5 + x2 + 1.25y = 1.5 + -1.25y + -1.5 + 1.25y

Reorder the terms:
-1.5 + x2 + 1.25y = 1.5 + -1.5 + -1.25y + 1.25y

Combine like terms: 1.5 + -1.5 = 0.0
-1.5 + x2 + 1.25y = 0.0 + -1.25y + 1.25y
-1.5 + x2 + 1.25y = -1.25y + 1.25y

Combine like terms: -1.25y + 1.25y = 0.00
-1.5 + x2 + 1.25y = 0.00

The solution to this equation could not be determined.