(s-5)(2s+7)=

Solution for (s-5)(2s+7)= equation:

Simplifying
(s + -5)(2s + 7) = 0

Reorder the terms:
(-5 + s)(2s + 7) = 0

Reorder the terms:
(-5 + s)(7 + 2s) = 0

Multiply (-5 + s) * (7 + 2s)
(-5(7 + 2s) + s(7 + 2s)) = 0
((7 * -5 + 2s * -5) + s(7 + 2s)) = 0
((-35 + -10s) + s(7 + 2s)) = 0
(-35 + -10s + (7 * s + 2s * s)) = 0
(-35 + -10s + (7s + 2s2)) = 0

Combine like terms: -10s + 7s = -3s
(-35 + -3s + 2s2) = 0

Solving
-35 + -3s + 2s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -2s)(5 + -1s) = 0

Subproblem 1
Set the factor '(-7 + -2s)' equal to zero and attempt to solve:

Simplifying
-7 + -2s = 0

Solving
-7 + -2s = 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 + -2s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2s = 0 + 7
-2s = 0 + 7

Combine like terms: 0 + 7 = 7
-2s = 7

Divide each side by '-2'.
s = -3.5

Simplifying
s = -3.5
Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve:

Simplifying
5 + -1s = 0

Solving
5 + -1s = 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 + -1s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1s = 0 + -5
-1s = 0 + -5

Combine like terms: 0 + -5 = -5
-1s = -5

Divide each side by '-1'.
s = 5

Simplifying
s = 5
Solution
s = {-3.5, 5}