7.5=5sin(1.57(x-2))+5

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Solution for 7.5=5sin(1.57(x-2))+5 equation: 


Simplifying
7.5 = 5sin(1.57(x + -2)) + 5

Reorder the terms:
7.5 = 5ins(1.57(-2 + x)) + 5
7.5 = 5ins((-2 * 1.57 + x * 1.57)) + 5
7.5 = 5ins((-3.14 + 1.57x)) + 5
7.5 = (-3.14 * 5ins + 1.57x * 5ins) + 5
7.5 = (-15.7ins + 7.85insx) + 5

Reorder the terms:
7.5 = 5 + -15.7ins + 7.85insx

Solving
7.5 = 5 + -15.7ins + 7.85insx

Solving for variable 'i'.

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

Add '15.7ins' to each side of the equation.
7.5 + 15.7ins = 5 + -15.7ins + 15.7ins + 7.85insx

Combine like terms: -15.7ins + 15.7ins = 0.0
7.5 + 15.7ins = 5 + 0.0 + 7.85insx
7.5 + 15.7ins = 5 + 7.85insx

Add '-7.85insx' to each side of the equation.
7.5 + 15.7ins + -7.85insx = 5 + 7.85insx + -7.85insx

Combine like terms: 7.85insx + -7.85insx = 0.00
7.5 + 15.7ins + -7.85insx = 5 + 0.00
7.5 + 15.7ins + -7.85insx = 5

Add '-7.5' to each side of the equation.
7.5 + 15.7ins + -7.5 + -7.85insx = 5 + -7.5

Reorder the terms:
7.5 + -7.5 + 15.7ins + -7.85insx = 5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 15.7ins + -7.85insx = 5 + -7.5
15.7ins + -7.85insx = 5 + -7.5

Combine like terms: 5 + -7.5 = -2.5
15.7ins + -7.85insx = -2.5

Reorder the terms:
2.5 + 15.7ins + -7.85insx = -2.5 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
2.5 + 15.7ins + -7.85insx = 0.0

The solution to this equation could not be determined.

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