1150=ST(.55(.5625)-.25(.750))

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Solution for 1150=ST(.55(.5625)-.25(.750)) equation:


Simplifying
1150 = ST(0.55(0.5625) + -0.25(0.750))

Multiply 0.55 * 0.5625
1150 = ST(0.309375 + -0.25(0.750))

Multiply -0.25 * 0.750
1150 = ST(0.309375 + -0.1875)

Combine like terms: 0.309375 + -0.1875 = 0.121875
1150 = ST(0.121875)

Reorder the terms for easier multiplication:
1150 = 0.121875ST

Solving
1150 = 0.121875ST

Solving for variable 'S'.

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

Add '-0.121875ST' to each side of the equation.
1150 + -0.121875ST = 0.121875ST + -0.121875ST

Combine like terms: 0.121875ST + -0.121875ST = 0.000000
1150 + -0.121875ST = 0.000000

Add '-1150' to each side of the equation.
1150 + -1150 + -0.121875ST = 0.000000 + -1150

Combine like terms: 1150 + -1150 = 0
0 + -0.121875ST = 0.000000 + -1150
-0.121875ST = 0.000000 + -1150

Combine like terms: 0.000000 + -1150 = -1150
-0.121875ST = -1150

Divide each side by '-0.121875T'.
S = 9435.897436T-1

Simplifying
S = 9435.897436T-1

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