=(3s-4)(4s+5)

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Solution for =(3s-4)(4s+5) equation: 


Simplifying
0 = (3s + -4)(4s + 5)

Reorder the terms:
0 = (-4 + 3s)(4s + 5)

Reorder the terms:
0 = (-4 + 3s)(5 + 4s)

Multiply (-4 + 3s) * (5 + 4s)
0 = (-4(5 + 4s) + 3s * (5 + 4s))
0 = ((5 * -4 + 4s * -4) + 3s * (5 + 4s))
0 = ((-20 + -16s) + 3s * (5 + 4s))
0 = (-20 + -16s + (5 * 3s + 4s * 3s))
0 = (-20 + -16s + (15s + 12s2))

Combine like terms: -16s + 15s = -1s
0 = (-20 + -1s + 12s2)

Solving
0 = -20 + -1s + 12s2

Solving for variable 's'.

Combine like terms: 0 + 20 = 20
20 + s + -12s2 = -20 + -1s + 12s2 + 20 + s + -12s2

Reorder the terms:
20 + s + -12s2 = -20 + 20 + -1s + s + 12s2 + -12s2

Combine like terms: -20 + 20 = 0
20 + s + -12s2 = 0 + -1s + s + 12s2 + -12s2
20 + s + -12s2 = -1s + s + 12s2 + -12s2

Combine like terms: -1s + s = 0
20 + s + -12s2 = 0 + 12s2 + -12s2
20 + s + -12s2 = 12s2 + -12s2

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

Factor a trinomial.
(4 + -3s)(5 + 4s) = 0


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 '(5 + 4s)' equal to zero and attempt to solve:

Simplifying
5 + 4s = 0

Solving
5 + 4s = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4s = 0 + -5
4s = 0 + -5

Combine like terms: 0 + -5 = -5
4s = -5

Divide each side by '4'.
s = -1.25

Simplifying
s = -1.25
Solution
s = {1.333333333, -1.25}

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