7(3s-4)(2s-2)=

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Solution for 7(3s-4)(2s-2)= equation: 


Simplifying
7(3s + -4)(2s + -2) = 0

Reorder the terms:
7(-4 + 3s)(2s + -2) = 0

Reorder the terms:
7(-4 + 3s)(-2 + 2s) = 0

Multiply (-4 + 3s) * (-2 + 2s)
7(-4(-2 + 2s) + 3s * (-2 + 2s)) = 0
7((-2 * -4 + 2s * -4) + 3s * (-2 + 2s)) = 0
7((8 + -8s) + 3s * (-2 + 2s)) = 0
7(8 + -8s + (-2 * 3s + 2s * 3s)) = 0
7(8 + -8s + (-6s + 6s2)) = 0

Combine like terms: -8s + -6s = -14s
7(8 + -14s + 6s2) = 0
(8 * 7 + -14s * 7 + 6s2 * 7) = 0
(56 + -98s + 42s2) = 0

Solving
56 + -98s + 42s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '14'.
14(4 + -7s + 3s2) = 0

Factor a trinomial.
14((1 + -1s)(4 + -3s)) = 0

Ignore the factor 14.

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

Simplifying
1 + -1s = 0

Solving
1 + -1s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1s = 0 + -1

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

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

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

Simplifying
s = 1

Subproblem 2
Set the factor '(4 + -3s)' equal to zero and attempt to solve:

Simplifying
4 + -3s = 0

Solving
4 + -3s = 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 + -3s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3s = 0 + -4
-3s = 0 + -4

Combine like terms: 0 + -4 = -4
-3s = -4

Divide each side by '-3'.
s = 1.333333333

Simplifying
s = 1.333333333
Solution
s = {1, 1.333333333}

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