S(4+h)=4(4+h)2+5(4+h)+5

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Solution for S(4+h)=4(4+h)2+5(4+h)+5 equation:


Simplifying
S(4 + h) = 4(4 + h) * 2 + 5(4 + h) + 5
(4 * S + h * S) = 4(4 + h) * 2 + 5(4 + h) + 5
(4S + hS) = 4(4 + h) * 2 + 5(4 + h) + 5

Reorder the terms for easier multiplication:
4S + hS = 4 * 2(4 + h) + 5(4 + h) + 5

Multiply 4 * 2
4S + hS = 8(4 + h) + 5(4 + h) + 5
4S + hS = (4 * 8 + h * 8) + 5(4 + h) + 5
4S + hS = (32 + 8h) + 5(4 + h) + 5
4S + hS = 32 + 8h + (4 * 5 + h * 5) + 5
4S + hS = 32 + 8h + (20 + 5h) + 5

Reorder the terms:
4S + hS = 32 + 20 + 5 + 8h + 5h

Combine like terms: 32 + 20 = 52
4S + hS = 52 + 5 + 8h + 5h

Combine like terms: 52 + 5 = 57
4S + hS = 57 + 8h + 5h

Combine like terms: 8h + 5h = 13h
4S + hS = 57 + 13h

Solving
4S + hS = 57 + 13h

Solving for variable 'S'.

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

Reorder the terms:
-57 + 4S + -13h + hS = 57 + 13h + -57 + -13h

Reorder the terms:
-57 + 4S + -13h + hS = 57 + -57 + 13h + -13h

Combine like terms: 57 + -57 = 0
-57 + 4S + -13h + hS = 0 + 13h + -13h
-57 + 4S + -13h + hS = 13h + -13h

Combine like terms: 13h + -13h = 0
-57 + 4S + -13h + hS = 0

The solution to this equation could not be determined.

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