(2s-3)(5s+4)=0

Solution for (2s-3)(5s+4)=0 equation:

Simplifying
(2s + -3)(5s + 4) = 0

Reorder the terms:
(-3 + 2s)(5s + 4) = 0

Reorder the terms:
(-3 + 2s)(4 + 5s) = 0

Multiply (-3 + 2s) * (4 + 5s)
(-3(4 + 5s) + 2s * (4 + 5s)) = 0
((4 * -3 + 5s * -3) + 2s * (4 + 5s)) = 0
((-12 + -15s) + 2s * (4 + 5s)) = 0
(-12 + -15s + (4 * 2s + 5s * 2s)) = 0
(-12 + -15s + (8s + 10s2)) = 0

Combine like terms: -15s + 8s = -7s
(-12 + -7s + 10s2) = 0

Solving
-12 + -7s + 10s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-4 + -5s)(3 + -2s) = 0

Subproblem 1
Set the factor '(-4 + -5s)' equal to zero and attempt to solve:

Simplifying
-4 + -5s = 0

Solving
-4 + -5s = 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 + -5s = 0 + 4

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

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

Divide each side by '-5'.
s = -0.8

Simplifying
s = -0.8
Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve:

Simplifying
3 + -2s = 0

Solving
3 + -2s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2s = 0 + -3
-2s = 0 + -3

Combine like terms: 0 + -3 = -3
-2s = -3

Divide each side by '-2'.
s = 1.5

Simplifying
s = 1.5
Solution
s = {-0.8, 1.5}