-3s(3s-5)-15=-2(6s+2)-3

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Solution for -3s(3s-5)-15=-2(6s+2)-3 equation: 


Simplifying
-3s(3s + -5) + -15 = -2(6s + 2) + -3

Reorder the terms:
-3s(-5 + 3s) + -15 = -2(6s + 2) + -3
(-5 * -3s + 3s * -3s) + -15 = -2(6s + 2) + -3
(15s + -9s2) + -15 = -2(6s + 2) + -3

Reorder the terms:
-15 + 15s + -9s2 = -2(6s + 2) + -3

Reorder the terms:
-15 + 15s + -9s2 = -2(2 + 6s) + -3
-15 + 15s + -9s2 = (2 * -2 + 6s * -2) + -3
-15 + 15s + -9s2 = (-4 + -12s) + -3

Reorder the terms:
-15 + 15s + -9s2 = -4 + -3 + -12s

Combine like terms: -4 + -3 = -7
-15 + 15s + -9s2 = -7 + -12s

Solving
-15 + 15s + -9s2 = -7 + -12s

Solving for variable 's'.

Reorder the terms:
-15 + 7 + 15s + 12s + -9s2 = -7 + -12s + 7 + 12s

Combine like terms: -15 + 7 = -8
-8 + 15s + 12s + -9s2 = -7 + -12s + 7 + 12s

Combine like terms: 15s + 12s = 27s
-8 + 27s + -9s2 = -7 + -12s + 7 + 12s

Reorder the terms:
-8 + 27s + -9s2 = -7 + 7 + -12s + 12s

Combine like terms: -7 + 7 = 0
-8 + 27s + -9s2 = 0 + -12s + 12s
-8 + 27s + -9s2 = -12s + 12s

Combine like terms: -12s + 12s = 0
-8 + 27s + -9s2 = 0

Factor a trinomial.
(-8 + 3s)(1 + -3s) = 0


Subproblem 1
Set the factor '(-8 + 3s)' equal to zero and attempt to solve:

Simplifying
-8 + 3s = 0

Solving
-8 + 3s = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3s = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3s = 0 + 8
3s = 0 + 8

Combine like terms: 0 + 8 = 8
3s = 8

Divide each side by '3'.
s = 2.666666667

Simplifying
s = 2.666666667

Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3s = 0 + -1
-3s = 0 + -1

Combine like terms: 0 + -1 = -1
-3s = -1

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Solution
s = {2.666666667, 0.3333333333}

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