(5s-2)(6s+4)=

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Solution for (5s-2)(6s+4)= equation: 


Simplifying
(5s + -2)(6s + 4) = 0

Reorder the terms:
(-2 + 5s)(6s + 4) = 0

Reorder the terms:
(-2 + 5s)(4 + 6s) = 0

Multiply (-2 + 5s) * (4 + 6s)
(-2(4 + 6s) + 5s * (4 + 6s)) = 0
((4 * -2 + 6s * -2) + 5s * (4 + 6s)) = 0
((-8 + -12s) + 5s * (4 + 6s)) = 0
(-8 + -12s + (4 * 5s + 6s * 5s)) = 0
(-8 + -12s + (20s + 30s2)) = 0

Combine like terms: -12s + 20s = 8s
(-8 + 8s + 30s2) = 0

Solving
-8 + 8s + 30s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4s + 15s2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3s)' equal to zero and attempt to solve:

Simplifying
-2 + -3s = 0

Solving
-2 + -3s = 0

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

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

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

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

Divide each side by '-3'.
s = -0.6666666667

Simplifying
s = -0.6666666667

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

Simplifying
2 + -5s = 0

Solving
2 + -5s = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5s = 0 + -2
-5s = 0 + -2

Combine like terms: 0 + -2 = -2
-5s = -2

Divide each side by '-5'.
s = 0.4

Simplifying
s = 0.4
Solution
s = {-0.6666666667, 0.4}

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