4sin^2x+9cosx-6=0

Solution for 4sin^2x+9cosx-6=0 equation:

Simplifying
4sin2x + 9cosx + -6 = 0

Reorder the terms:
-6 + 9cosx + 4in2sx = 0

Solving
-6 + 9cosx + 4in2sx = 0

Solving for variable 'c'.

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

Add '6' to each side of the equation.
-6 + 9cosx + 6 + 4in2sx = 0 + 6

Reorder the terms:
-6 + 6 + 9cosx + 4in2sx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 9cosx + 4in2sx = 0 + 6
9cosx + 4in2sx = 0 + 6

Combine like terms: 0 + 6 = 6
9cosx + 4in2sx = 6

Add '-4in2sx' to each side of the equation.
9cosx + 4in2sx + -4in2sx = 6 + -4in2sx

Combine like terms: 4in2sx + -4in2sx = 0
9cosx + 0 = 6 + -4in2sx
9cosx = 6 + -4in2sx

Divide each side by '9osx'.
c = 0.6666666667o-1s-1x-1 + -0.4444444444in2o-1

Simplifying
c = 0.6666666667o-1s-1x-1 + -0.4444444444in2o-1

Reorder the terms:
c = -0.4444444444in2o-1 + 0.6666666667o-1s-1x-1