-2(2s-6)-12=-2s(5s+7)-3

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Solution for -2(2s-6)-12=-2s(5s+7)-3 equation:


Simplifying
-2(2s + -6) + -12 = -2s(5s + 7) + -3

Reorder the terms:
-2(-6 + 2s) + -12 = -2s(5s + 7) + -3
(-6 * -2 + 2s * -2) + -12 = -2s(5s + 7) + -3
(12 + -4s) + -12 = -2s(5s + 7) + -3

Reorder the terms:
12 + -12 + -4s = -2s(5s + 7) + -3

Combine like terms: 12 + -12 = 0
0 + -4s = -2s(5s + 7) + -3
-4s = -2s(5s + 7) + -3

Reorder the terms:
-4s = -2s(7 + 5s) + -3
-4s = (7 * -2s + 5s * -2s) + -3
-4s = (-14s + -10s2) + -3

Reorder the terms:
-4s = -3 + -14s + -10s2

Solving
-4s = -3 + -14s + -10s2

Solving for variable 's'.

Reorder the terms:
3 + -4s + 14s + 10s2 = -3 + -14s + -10s2 + 3 + 14s + 10s2

Combine like terms: -4s + 14s = 10s
3 + 10s + 10s2 = -3 + -14s + -10s2 + 3 + 14s + 10s2

Reorder the terms:
3 + 10s + 10s2 = -3 + 3 + -14s + 14s + -10s2 + 10s2

Combine like terms: -3 + 3 = 0
3 + 10s + 10s2 = 0 + -14s + 14s + -10s2 + 10s2
3 + 10s + 10s2 = -14s + 14s + -10s2 + 10s2

Combine like terms: -14s + 14s = 0
3 + 10s + 10s2 = 0 + -10s2 + 10s2
3 + 10s + 10s2 = -10s2 + 10s2

Combine like terms: -10s2 + 10s2 = 0
3 + 10s + 10s2 = 0

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

Divide each side by '10'.
0.3 + s + s2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + s + -0.3 + s2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + s + s2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + s + s2 = 0 + -0.3
s + s2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
s + s2 = -0.3

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

Add '0.25' to each side of the equation.
 + 0.25 + s2 = -0.3 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + s2 = -0.3 + 0.25

Combine like terms: -0.3 + 0.25 = -0.05
1.25 + s2 = -0.05

Factor a perfect square on the left side:
(s + 0.5)(s + 0.5) = -0.05

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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