5+5z^2=3z

Solution for 5+5z^2=3z equation:

Simplifying
5 + 5z2 = 3z

Solving
5 + 5z2 = 3z

Solving for variable 'z'.

Reorder the terms:
5 + -3z + 5z2 = 3z + -3z

Combine like terms: 3z + -3z = 0
5 + -3z + 5z2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
1 + -0.6z + z2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6z + -1 + z2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6z + z2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6z + z2 = 0 + -1
-0.6z + z2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6z + z2 = -1

The z term is -0.6z.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6z + 0.09 + z2 = -1 + 0.09

Reorder the terms:
0.09 + -0.6z + z2 = -1 + 0.09

Combine like terms: -1 + 0.09 = -0.91
0.09 + -0.6z + z2 = -0.91

Factor a perfect square on the left side:
(z + -0.3)(z + -0.3) = -0.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.