10s(s-4)=-74

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Solution for 10s(s-4)=-74 equation: 


Simplifying
10s(s + -4) = -74

Reorder the terms:
10s(-4 + s) = -74
(-4 * 10s + s * 10s) = -74
(-40s + 10s2) = -74

Solving
-40s + 10s2 = -74

Solving for variable 's'.

Reorder the terms:
74 + -40s + 10s2 = -74 + 74

Combine like terms: -74 + 74 = 0
74 + -40s + 10s2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(37 + -20s + 5s2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(37 + -20s + 5s2)' equal to zero and attempt to solve:

Simplifying
37 + -20s + 5s2 = 0

Solving
37 + -20s + 5s2 = 0

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

Divide each side by '5'.
7.4 + -4s + s2 = 0

Move the constant term to the right:

Add '-7.4' to each side of the equation.
7.4 + -4s + -7.4 + s2 = 0 + -7.4

Reorder the terms:
7.4 + -7.4 + -4s + s2 = 0 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + -4s + s2 = 0 + -7.4
-4s + s2 = 0 + -7.4

Combine like terms: 0 + -7.4 = -7.4
-4s + s2 = -7.4

The s term is -4s.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4s + 4 + s2 = -7.4 + 4

Reorder the terms:
4 + -4s + s2 = -7.4 + 4

Combine like terms: -7.4 + 4 = -3.4
4 + -4s + s2 = -3.4

Factor a perfect square on the left side:
(s + -2)(s + -2) = -3.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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