(3sinx-cosx)(3sinx-cosx)+(3sinx+cosx)(3sinx+cosx)=10

Simple and best practice solution for (3sinx-cosx)(3sinx-cosx)+(3sinx+cosx)(3sinx+cosx)=10 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 home

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

Solution for (3sinx-cosx)(3sinx-cosx)+(3sinx+cosx)(3sinx+cosx)=10 equation: 


Simplifying
(3sinx + -1cosx)(3sinx + -1cosx) + (3sinx + cosx)(3sinx + cosx) = 10

Reorder the terms:
(-1cosx + 3insx)(3sinx + -1cosx) + (3sinx + cosx)(3sinx + cosx) = 10

Reorder the terms:
(-1cosx + 3insx)(-1cosx + 3insx) + (3sinx + cosx)(3sinx + cosx) = 10

Multiply (-1cosx + 3insx) * (-1cosx + 3insx)
(-1cosx * (-1cosx + 3insx) + 3insx * (-1cosx + 3insx)) + (3sinx + cosx)(3sinx + cosx) = 10
((-1cosx * -1cosx + 3insx * -1cosx) + 3insx * (-1cosx + 3insx)) + (3sinx + cosx)(3sinx + cosx) = 10

Reorder the terms:
((-3cinos2x2 + 1c2o2s2x2) + 3insx * (-1cosx + 3insx)) + (3sinx + cosx)(3sinx + cosx) = 10
((-3cinos2x2 + 1c2o2s2x2) + 3insx * (-1cosx + 3insx)) + (3sinx + cosx)(3sinx + cosx) = 10
(-3cinos2x2 + 1c2o2s2x2 + (-1cosx * 3insx + 3insx * 3insx)) + (3sinx + cosx)(3sinx + cosx) = 10
(-3cinos2x2 + 1c2o2s2x2 + (-3cinos2x2 + 9i2n2s2x2)) + (3sinx + cosx)(3sinx + cosx) = 10

Reorder the terms:
(-3cinos2x2 + -3cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2) + (3sinx + cosx)(3sinx + cosx) = 10

Combine like terms: -3cinos2x2 + -3cinos2x2 = -6cinos2x2
(-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2) + (3sinx + cosx)(3sinx + cosx) = 10

Reorder the terms:
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (cosx + 3insx)(3sinx + cosx) = 10

Reorder the terms:
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (cosx + 3insx)(cosx + 3insx) = 10

Multiply (cosx + 3insx) * (cosx + 3insx)
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (cosx(cosx + 3insx) + 3insx * (cosx + 3insx)) = 10
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + ((cosx * cosx + 3insx * cosx) + 3insx * (cosx + 3insx)) = 10

Reorder the terms:
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + ((3cinos2x2 + c2o2s2x2) + 3insx * (cosx + 3insx)) = 10
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + ((3cinos2x2 + c2o2s2x2) + 3insx * (cosx + 3insx)) = 10
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (3cinos2x2 + c2o2s2x2 + (cosx * 3insx + 3insx * 3insx)) = 10
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (3cinos2x2 + c2o2s2x2 + (3cinos2x2 + 9i2n2s2x2)) = 10

Reorder the terms:
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (3cinos2x2 + 3cinos2x2 + c2o2s2x2 + 9i2n2s2x2) = 10

Combine like terms: 3cinos2x2 + 3cinos2x2 = 6cinos2x2
-6cinos2x2 + 1c2o2s2x2 + 9i2n2s2x2 + (6cinos2x2 + c2o2s2x2 + 9i2n2s2x2) = 10

Reorder the terms:
-6cinos2x2 + 6cinos2x2 + 1c2o2s2x2 + c2o2s2x2 + 9i2n2s2x2 + 9i2n2s2x2 = 10

Combine like terms: -6cinos2x2 + 6cinos2x2 = 0
0 + 1c2o2s2x2 + c2o2s2x2 + 9i2n2s2x2 + 9i2n2s2x2 = 10
1c2o2s2x2 + c2o2s2x2 + 9i2n2s2x2 + 9i2n2s2x2 = 10

Combine like terms: 1c2o2s2x2 + c2o2s2x2 = 2c2o2s2x2
2c2o2s2x2 + 9i2n2s2x2 + 9i2n2s2x2 = 10

Combine like terms: 9i2n2s2x2 + 9i2n2s2x2 = 18i2n2s2x2
2c2o2s2x2 + 18i2n2s2x2 = 10

Solving
2c2o2s2x2 + 18i2n2s2x2 = 10

Solving for variable 'c'.

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

Add '-18i2n2s2x2' to each side of the equation.
2c2o2s2x2 + 18i2n2s2x2 + -18i2n2s2x2 = 10 + -18i2n2s2x2

Combine like terms: 18i2n2s2x2 + -18i2n2s2x2 = 0
2c2o2s2x2 + 0 = 10 + -18i2n2s2x2
2c2o2s2x2 = 10 + -18i2n2s2x2

Divide each side by '2o2s2x2'.
c2 = 5o-2s-2x-2 + -9i2n2o-2

Simplifying
c2 = 5o-2s-2x-2 + -9i2n2o-2

Reorder the terms:
c2 = -9i2n2o-2 + 5o-2s-2x-2

Reorder the terms:
c2 + 9i2n2o-2 + -5o-2s-2x-2 = -9i2n2o-2 + 9i2n2o-2 + 5o-2s-2x-2 + -5o-2s-2x-2

Combine like terms: -9i2n2o-2 + 9i2n2o-2 = 0
c2 + 9i2n2o-2 + -5o-2s-2x-2 = 0 + 5o-2s-2x-2 + -5o-2s-2x-2
c2 + 9i2n2o-2 + -5o-2s-2x-2 = 5o-2s-2x-2 + -5o-2s-2x-2

Combine like terms: 5o-2s-2x-2 + -5o-2s-2x-2 = 0
c2 + 9i2n2o-2 + -5o-2s-2x-2 = 0

The solution to this equation could not be determined.

See similar equations:

| y-8=4(x-2) | | 6(7-2c)= | | 4(2x-4)-3(2x+3)=0 | | 8(7n-7)+4=228 | | 3x-2+5x-10=180 | | 3x-10+5x-10=180 | | 7h+9=67 | | y^3-1.499y^2+0.203=0 | | -9x-18=-8x-7x | | 50400*8/100 | | -9x-18=-8x-7 | | 9u^2-18u+2=0 | | (x-a)/(x-b)=(1)/(3) | | M=4/5 | | x-6/100*x=24.44 | | 10-4t-2s+6t= | | 16/(27x^2) | | 4c*5= | | 2x(x+1)-(x^2+1)=0 | | -16x^2+27= | | x=12.5+.2y | | F(4)=7+-9x | | F(0)=7+-9x | | 4=14+8x | | P-12p-24=1-8p+5 | | .315/525 | | 10x-4y=-16 | | 11(t+11)/9=8(t-4)/12 | | 39=5h+8h | | 0.833y^3-12.53y^2+5.096=0 | | 15h+5=18 | | 8v-5=6+9v |

Equations solver categories