(2s+-4)(3s+-4)=

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Solution for (2s+-4)(3s+-4)= equation: 


Simplifying
(2s + -4)(3s + -4) = 0

Reorder the terms:
(-4 + 2s)(3s + -4) = 0

Reorder the terms:
(-4 + 2s)(-4 + 3s) = 0

Multiply (-4 + 2s) * (-4 + 3s)
(-4(-4 + 3s) + 2s * (-4 + 3s)) = 0
((-4 * -4 + 3s * -4) + 2s * (-4 + 3s)) = 0
((16 + -12s) + 2s * (-4 + 3s)) = 0
(16 + -12s + (-4 * 2s + 3s * 2s)) = 0
(16 + -12s + (-8s + 6s2)) = 0

Combine like terms: -12s + -8s = -20s
(16 + -20s + 6s2) = 0

Solving
16 + -20s + 6s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -10s + 3s2) = 0

Factor a trinomial.
2((4 + -3s)(2 + -1s)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -3s)' equal to zero and attempt to solve:

Simplifying
4 + -3s = 0

Solving
4 + -3s = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3s = 0 + -4
-3s = 0 + -4

Combine like terms: 0 + -4 = -4
-3s = -4

Divide each side by '-3'.
s = 1.333333333

Simplifying
s = 1.333333333

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

Simplifying
2 + -1s = 0

Solving
2 + -1s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {1.333333333, 2}

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