(10s+7)(3s-5)=0

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Solution for (10s+7)(3s-5)=0 equation: 


Simplifying
(10s + 7)(3s + -5) = 0

Reorder the terms:
(7 + 10s)(3s + -5) = 0

Reorder the terms:
(7 + 10s)(-5 + 3s) = 0

Multiply (7 + 10s) * (-5 + 3s)
(7(-5 + 3s) + 10s * (-5 + 3s)) = 0
((-5 * 7 + 3s * 7) + 10s * (-5 + 3s)) = 0
((-35 + 21s) + 10s * (-5 + 3s)) = 0
(-35 + 21s + (-5 * 10s + 3s * 10s)) = 0
(-35 + 21s + (-50s + 30s2)) = 0

Combine like terms: 21s + -50s = -29s
(-35 + -29s + 30s2) = 0

Solving
-35 + -29s + 30s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-7 + -10s)(5 + -3s) = 0


Subproblem 1
Set the factor '(-7 + -10s)' equal to zero and attempt to solve:

Simplifying
-7 + -10s = 0

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

Combine like terms: -7 + 7 = 0
0 + -10s = 0 + 7
-10s = 0 + 7

Combine like terms: 0 + 7 = 7
-10s = 7

Divide each side by '-10'.
s = -0.7

Simplifying
s = -0.7

Subproblem 2
Set the factor '(5 + -3s)' equal to zero and attempt to solve:

Simplifying
5 + -3s = 0

Solving
5 + -3s = 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 + -3s = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3s = 0 + -5
-3s = 0 + -5

Combine like terms: 0 + -5 = -5
-3s = -5

Divide each side by '-3'.
s = 1.666666667

Simplifying
s = 1.666666667
Solution
s = {-0.7, 1.666666667}

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