2zx^2+5z-1=0

Solution for 2zx^2+5z-1=0 equation:

Simplifying
2zx2 + 5z + -1 = 0

Reorder the terms:
-1 + 2x2z + 5z = 0

Solving
-1 + 2x2z + 5z = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 2x2z + 1 + 5z = 0 + 1

Reorder the terms:
-1 + 1 + 2x2z + 5z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x2z + 5z = 0 + 1
2x2z + 5z = 0 + 1

Combine like terms: 0 + 1 = 1
2x2z + 5z = 1

Add '-5z' to each side of the equation.
2x2z + 5z + -5z = 1 + -5z

Combine like terms: 5z + -5z = 0
2x2z + 0 = 1 + -5z
2x2z = 1 + -5z

Divide each side by '2z'.
x2 = 0.5z-1 + -2.5

Simplifying
x2 = 0.5z-1 + -2.5

Reorder the terms:
x2 = -2.5 + 0.5z-1

Reorder the terms:
2.5 + x2 + -0.5z-1 = -2.5 + 0.5z-1 + 2.5 + -0.5z-1

Reorder the terms:
2.5 + x2 + -0.5z-1 = -2.5 + 2.5 + 0.5z-1 + -0.5z-1

Combine like terms: -2.5 + 2.5 = 0.0
2.5 + x2 + -0.5z-1 = 0.0 + 0.5z-1 + -0.5z-1
2.5 + x2 + -0.5z-1 = 0.5z-1 + -0.5z-1

Combine like terms: 0.5z-1 + -0.5z-1 = 0.0
2.5 + x2 + -0.5z-1 = 0.0

The solution to this equation could not be determined.