5(2s-1)-3(s+2)s=4

Solution for 5(2s-1)-3(s+2)s=4 equation:

Simplifying
5(2s + -1) + -3(s + 2) * s = 4

Reorder the terms:
5(-1 + 2s) + -3(s + 2) * s = 4
(-1 * 5 + 2s * 5) + -3(s + 2) * s = 4
(-5 + 10s) + -3(s + 2) * s = 4

Reorder the terms:
-5 + 10s + -3(2 + s) * s = 4

Reorder the terms for easier multiplication:
-5 + 10s + -3s(2 + s) = 4
-5 + 10s + (2 * -3s + s * -3s) = 4
-5 + 10s + (-6s + -3s2) = 4

Combine like terms: 10s + -6s = 4s
-5 + 4s + -3s2 = 4

Solving
-5 + 4s + -3s2 = 4

Solving for variable 's'.

Reorder the terms:
-5 + -4 + 4s + -3s2 = 4 + -4

Combine like terms: -5 + -4 = -9
-9 + 4s + -3s2 = 4 + -4

Combine like terms: 4 + -4 = 0
-9 + 4s + -3s2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
3 + -1.333333333s + s2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -1.333333333s + -3 + s2 = 0 + -3

Reorder the terms:
3 + -3 + -1.333333333s + s2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1.333333333s + s2 = 0 + -3
-1.333333333s + s2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1.333333333s + s2 = -3

The s term is -1.333333333s.  Take half its coefficient (-0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
-1.333333333s + 0.4444444442 + s2 = -3 + 0.4444444442

Reorder the terms:
0.4444444442 + -1.333333333s + s2 = -3 + 0.4444444442

Combine like terms: -3 + 0.4444444442 = -2.5555555558
0.4444444442 + -1.333333333s + s2 = -2.5555555558

Factor a perfect square on the left side:
(s + -0.6666666665)(s + -0.6666666665) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.