-6.3(2s+5)1.6(3s-6)=

Solution for -6.3(2s+5)1.6(3s-6)= equation:

Simplifying
-6.3(2s + 5) * 1.6(3s + -6) = 0

Reorder the terms:
-6.3(5 + 2s) * 1.6(3s + -6) = 0

Reorder the terms:
-6.3(5 + 2s) * 1.6(-6 + 3s) = 0

Reorder the terms for easier multiplication:
-6.3 * 1.6(5 + 2s)(-6 + 3s) = 0

Multiply -6.3 * 1.6
-10.08(5 + 2s)(-6 + 3s) = 0

Multiply (5 + 2s) * (-6 + 3s)
-10.08(5(-6 + 3s) + 2s * (-6 + 3s)) = 0
-10.08((-6 * 5 + 3s * 5) + 2s * (-6 + 3s)) = 0
-10.08((-30 + 15s) + 2s * (-6 + 3s)) = 0
-10.08(-30 + 15s + (-6 * 2s + 3s * 2s)) = 0
-10.08(-30 + 15s + (-12s + 6s2)) = 0

Combine like terms: 15s + -12s = 3s
-10.08(-30 + 3s + 6s2) = 0
(-30 * -10.08 + 3s * -10.08 + 6s2 * -10.08) = 0
(302.4 + -30.24s + -60.48s2) = 0

Solving
302.4 + -30.24s + -60.48s2 = 0

Solving for variable 's'.

Begin completing the square.  Divide all terms by
-60.48 the coefficient of the squared term: 

Divide each side by '-60.48'.
-5 + 0.5s + s2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 0.5s + 5 + s2 = 0 + 5

Reorder the terms:
-5 + 5 + 0.5s + s2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 0.5s + s2 = 0 + 5
0.5s + s2 = 0 + 5

Combine like terms: 0 + 5 = 5
0.5s + s2 = 5

The s term is 0.5s.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5s + 0.0625 + s2 = 5 + 0.0625

Reorder the terms:
0.0625 + 0.5s + s2 = 5 + 0.0625

Combine like terms: 5 + 0.0625 = 5.0625
0.0625 + 0.5s + s2 = 5.0625

Factor a perfect square on the left side:
(s + 0.25)(s + 0.25) = 5.0625

Calculate the square root of the right side: 2.25

Break this problem into two subproblems by setting 
(s + 0.25) equal to 2.25 and -2.25.

Subproblem 1
s + 0.25 = 2.25

Simplifying
s + 0.25 = 2.25

Reorder the terms:
0.25 + s = 2.25

Solving
0.25 + s = 2.25

Solving for variable 's'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + s = 2.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + s = 2.25 + -0.25
s = 2.25 + -0.25

Combine like terms: 2.25 + -0.25 = 2
s = 2

Simplifying
s = 2

Subproblem 2
s + 0.25 = -2.25

Simplifying
s + 0.25 = -2.25

Reorder the terms:
0.25 + s = -2.25

Solving
0.25 + s = -2.25

Solving for variable 's'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + s = -2.25 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + s = -2.25 + -0.25
s = -2.25 + -0.25

Combine like terms: -2.25 + -0.25 = -2.5
s = -2.5

Simplifying
s = -2.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
s = {2, -2.5}