10sin^2(x)+5sin(2x)-4=0

Simple and best practice solution for 10sin^2(x)+5sin(2x)-4=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 10sin^2(x)+5sin(2x)-4=0 equation: 


Simplifying
10sin2(x) + 5sin(2x) + -4 = 0

Multiply in2s * x
10in2sx + 5sin(2x) + -4 = 0

Remove parenthesis around (2x)
10in2sx + 5ins * 2x + -4 = 0

Reorder the terms for easier multiplication:
10in2sx + 5 * 2ins * x + -4 = 0

Multiply 5 * 2
10in2sx + 10ins * x + -4 = 0

Multiply ins * x
10in2sx + 10insx + -4 = 0

Reorder the terms:
-4 + 10insx + 10in2sx = 0

Solving
-4 + 10insx + 10in2sx = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 10insx + 4 + 10in2sx = 0 + 4

Reorder the terms:
-4 + 4 + 10insx + 10in2sx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 10insx + 10in2sx = 0 + 4
10insx + 10in2sx = 0 + 4

Combine like terms: 0 + 4 = 4
10insx + 10in2sx = 4

Reorder the terms:
-4 + 10insx + 10in2sx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 10insx + 10in2sx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 5insx + 5in2sx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 5insx + 5in2sx)' equal to zero and attempt to solve:

Simplifying
-2 + 5insx + 5in2sx = 0

Solving
-2 + 5insx + 5in2sx = 0

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

Add '2' to each side of the equation.
-2 + 5insx + 2 + 5in2sx = 0 + 2

Reorder the terms:
-2 + 2 + 5insx + 5in2sx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5insx + 5in2sx = 0 + 2
5insx + 5in2sx = 0 + 2

Combine like terms: 0 + 2 = 2
5insx + 5in2sx = 2

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.

See similar equations:

| 17x-(6x-8)=74 | | f(x)=5x^2+5x+9 | | F(x)=3sin(2x-4) | | x+y+xy+1=0 | | -9+6x=45 | | 1.76x^2-3.25x-5000=0 | | 176x^2-3.25x-5000=0 | | 25/2÷8/5 | | j(x)=9 | | (F-32)×5/9 | | 3×2/4= | | X=7x^2-4x+9 | | 5000=(50)(25)(h) | | n-15=3(4) | | (5x-3)/(x-1)=4 | | 5x-3/x-1=4 | | 3x+x=-x | | 4(x+8)-2(x+6)=18 | | X+30+60=180 | | 39=3x+4+2x | | X=540-3x+40 | | p(x)=3x^2+210x+100 | | x/5-2x/3=7/10 | | 0.10n+0.25n(n+4)=5.20 | | -4(x+2)=4(n+5) | | 2x-35=105 | | Cos^2x-7cosx-8=0 | | (2a+3)=(5a-2) | | 2x+14=158 | | X+(x+14)=158 | | 212-32/1.8=x | | 3/9n=9 |

Equations solver categories