3(s^2+4s+4)+8=(3s+1)(s+2)-35

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Solution for 3(s^2+4s+4)+8=(3s+1)(s+2)-35 equation: 


Simplifying
3(s2 + 4s + 4) + 8 = (3s + 1)(s + 2) + -35

Reorder the terms:
3(4 + 4s + s2) + 8 = (3s + 1)(s + 2) + -35
(4 * 3 + 4s * 3 + s2 * 3) + 8 = (3s + 1)(s + 2) + -35
(12 + 12s + 3s2) + 8 = (3s + 1)(s + 2) + -35

Reorder the terms:
12 + 8 + 12s + 3s2 = (3s + 1)(s + 2) + -35

Combine like terms: 12 + 8 = 20
20 + 12s + 3s2 = (3s + 1)(s + 2) + -35

Reorder the terms:
20 + 12s + 3s2 = (1 + 3s)(s + 2) + -35

Reorder the terms:
20 + 12s + 3s2 = (1 + 3s)(2 + s) + -35

Multiply (1 + 3s) * (2 + s)
20 + 12s + 3s2 = (1(2 + s) + 3s * (2 + s)) + -35
20 + 12s + 3s2 = ((2 * 1 + s * 1) + 3s * (2 + s)) + -35
20 + 12s + 3s2 = ((2 + 1s) + 3s * (2 + s)) + -35
20 + 12s + 3s2 = (2 + 1s + (2 * 3s + s * 3s)) + -35
20 + 12s + 3s2 = (2 + 1s + (6s + 3s2)) + -35

Combine like terms: 1s + 6s = 7s
20 + 12s + 3s2 = (2 + 7s + 3s2) + -35

Reorder the terms:
20 + 12s + 3s2 = 2 + -35 + 7s + 3s2

Combine like terms: 2 + -35 = -33
20 + 12s + 3s2 = -33 + 7s + 3s2

Add '-3s2' to each side of the equation.
20 + 12s + 3s2 + -3s2 = -33 + 7s + 3s2 + -3s2

Combine like terms: 3s2 + -3s2 = 0
20 + 12s + 0 = -33 + 7s + 3s2 + -3s2
20 + 12s = -33 + 7s + 3s2 + -3s2

Combine like terms: 3s2 + -3s2 = 0
20 + 12s = -33 + 7s + 0
20 + 12s = -33 + 7s

Solving
20 + 12s = -33 + 7s

Solving for variable 's'.

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

Add '-7s' to each side of the equation.
20 + 12s + -7s = -33 + 7s + -7s

Combine like terms: 12s + -7s = 5s
20 + 5s = -33 + 7s + -7s

Combine like terms: 7s + -7s = 0
20 + 5s = -33 + 0
20 + 5s = -33

Add '-20' to each side of the equation.
20 + -20 + 5s = -33 + -20

Combine like terms: 20 + -20 = 0
0 + 5s = -33 + -20
5s = -33 + -20

Combine like terms: -33 + -20 = -53
5s = -53

Divide each side by '5'.
s = -10.6

Simplifying
s = -10.6

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