(s+4)(2s-13)=

Solution for (s+4)(2s-13)= equation:

Simplifying
(s + 4)(2s + -13) = 0

Reorder the terms:
(4 + s)(2s + -13) = 0

Reorder the terms:
(4 + s)(-13 + 2s) = 0

Multiply (4 + s) * (-13 + 2s)
(4(-13 + 2s) + s(-13 + 2s)) = 0
((-13 * 4 + 2s * 4) + s(-13 + 2s)) = 0
((-52 + 8s) + s(-13 + 2s)) = 0
(-52 + 8s + (-13 * s + 2s * s)) = 0
(-52 + 8s + (-13s + 2s2)) = 0

Combine like terms: 8s + -13s = -5s
(-52 + -5s + 2s2) = 0

Solving
-52 + -5s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -1s)(13 + -2s) = 0

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

Simplifying
-4 + -1s = 0

Solving
-4 + -1s = 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 + -1s = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1s = 0 + 4
-1s = 0 + 4

Combine like terms: 0 + 4 = 4
-1s = 4

Divide each side by '-1'.
s = -4

Simplifying
s = -4
Subproblem 2
Set the factor '(13 + -2s)' equal to zero and attempt to solve:

Simplifying
13 + -2s = 0

Solving
13 + -2s = 0

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

Add '-13' to each side of the equation.
13 + -13 + -2s = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2s = 0 + -13
-2s = 0 + -13

Combine like terms: 0 + -13 = -13
-2s = -13

Divide each side by '-2'.
s = 6.5

Simplifying
s = 6.5
Solution
s = {-4, 6.5}