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

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


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

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

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

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

Combine like terms: -4s + -15s = -19s
0 = (20 + -19s + 3s2)

Solving
0 = 20 + -19s + 3s2

Solving for variable 's'.

Combine like terms: 0 + -20 = -20
-20 + 19s + -3s2 = 20 + -19s + 3s2 + -20 + 19s + -3s2

Reorder the terms:
-20 + 19s + -3s2 = 20 + -20 + -19s + 19s + 3s2 + -3s2

Combine like terms: 20 + -20 = 0
-20 + 19s + -3s2 = 0 + -19s + 19s + 3s2 + -3s2
-20 + 19s + -3s2 = -19s + 19s + 3s2 + -3s2

Combine like terms: -19s + 19s = 0
-20 + 19s + -3s2 = 0 + 3s2 + -3s2
-20 + 19s + -3s2 = 3s2 + -3s2

Combine like terms: 3s2 + -3s2 = 0
-20 + 19s + -3s2 = 0

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


Subproblem 1
Set the factor '(-5 + s)' equal to zero and attempt to solve:

Simplifying
-5 + s = 0

Solving
-5 + s = 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 + s = 0 + 5

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

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

Simplifying
s = 5

Subproblem 2
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
Solution
s = {5, 1.333333333}

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