2x=5sinx

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Solution for 2x=5sinx equation:


Simplifying
2x = 5sinx

Solving
2x = 5insx

Solving for variable 'x'.

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

Add '-5insx' to each side of the equation.
-5insx + 2x = 5insx + -5insx

Combine like terms: 5insx + -5insx = 0
-5insx + 2x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5ins + 2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-5ins + 2)' equal to zero and attempt to solve: Simplifying -5ins + 2 = 0 Reorder the terms: 2 + -5ins = 0 Solving 2 + -5ins = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5ins = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5ins = 0 + -2 -5ins = 0 + -2 Combine like terms: 0 + -2 = -2 -5ins = -2 Add '5ins' to each side of the equation. -5ins + 5ins = -2 + 5ins Combine like terms: -5ins + 5ins = 0 0 = -2 + 5ins Simplifying 0 = -2 + 5ins The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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