0=4sin(12x+90)-2

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Solution for 0=4sin(12x+90)-2 equation:


Simplifying
0 = 4sin(12x + 90) + -2

Reorder the terms:
0 = 4ins(90 + 12x) + -2
0 = (90 * 4ins + 12x * 4ins) + -2
0 = (360ins + 48insx) + -2

Reorder the terms:
0 = -2 + 360ins + 48insx

Solving
0 = -2 + 360ins + 48insx

Solving for variable 'i'.

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

Add '-360ins' to each side of the equation.
0 + -360ins = -2 + 360ins + -360ins + 48insx
Remove the zero:
-360ins = -2 + 360ins + -360ins + 48insx

Combine like terms: 360ins + -360ins = 0
-360ins = -2 + 0 + 48insx
-360ins = -2 + 48insx

Add '-48insx' to each side of the equation.
-360ins + -48insx = -2 + 48insx + -48insx

Combine like terms: 48insx + -48insx = 0
-360ins + -48insx = -2 + 0
-360ins + -48insx = -2

Reorder the terms:
2 + -360ins + -48insx = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -360ins + -48insx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -180ins + -24insx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -180ins + -24insx)' equal to zero and attempt to solve: Simplifying 1 + -180ins + -24insx = 0 Solving 1 + -180ins + -24insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -180ins + -1 + -24insx = 0 + -1 Reorder the terms: 1 + -1 + -180ins + -24insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -180ins + -24insx = 0 + -1 -180ins + -24insx = 0 + -1 Combine like terms: 0 + -1 = -1 -180ins + -24insx = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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