2(3s+7)(s-1)=0

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Solution for 2(3s+7)(s-1)=0 equation: 


Simplifying
2(3s + 7)(s + -1) = 0

Reorder the terms:
2(7 + 3s)(s + -1) = 0

Reorder the terms:
2(7 + 3s)(-1 + s) = 0

Multiply (7 + 3s) * (-1 + s)
2(7(-1 + s) + 3s * (-1 + s)) = 0
2((-1 * 7 + s * 7) + 3s * (-1 + s)) = 0
2((-7 + 7s) + 3s * (-1 + s)) = 0
2(-7 + 7s + (-1 * 3s + s * 3s)) = 0
2(-7 + 7s + (-3s + 3s2)) = 0

Combine like terms: 7s + -3s = 4s
2(-7 + 4s + 3s2) = 0
(-7 * 2 + 4s * 2 + 3s2 * 2) = 0
(-14 + 8s + 6s2) = 0

Solving
-14 + 8s + 6s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 4s + 3s2) = 0

Factor a trinomial.
2((-7 + -3s)(1 + -1s)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -3s)' equal to zero and attempt to solve:

Simplifying
-7 + -3s = 0

Solving
-7 + -3s = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3s = 0 + 7
-3s = 0 + 7

Combine like terms: 0 + 7 = 7
-3s = 7

Divide each side by '-3'.
s = -2.333333333

Simplifying
s = -2.333333333

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

Simplifying
1 + -1s = 0

Solving
1 + -1s = 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 + -1s = 0 + -1

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

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

Divide each side by '-1'.
s = 1

Simplifying
s = 1
Solution
s = {-2.333333333, 1}

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