10sin^2(3x)+9cos(3x)-12=0

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Solution for 10sin^2(3x)+9cos(3x)-12=0 equation: 


Simplifying
10sin2(3x) + 9cos(3x) + -12 = 0

Remove parenthesis around (3x)
10in2s * 3x + 9cos(3x) + -12 = 0

Reorder the terms for easier multiplication:
10 * 3in2s * x + 9cos(3x) + -12 = 0

Multiply 10 * 3
30in2s * x + 9cos(3x) + -12 = 0

Multiply in2s * x
30in2sx + 9cos(3x) + -12 = 0

Remove parenthesis around (3x)
30in2sx + 9cos * 3x + -12 = 0

Reorder the terms for easier multiplication:
30in2sx + 9 * 3cos * x + -12 = 0

Multiply 9 * 3
30in2sx + 27cos * x + -12 = 0

Multiply cos * x
30in2sx + 27cosx + -12 = 0

Reorder the terms:
-12 + 27cosx + 30in2sx = 0

Solving
-12 + 27cosx + 30in2sx = 0

Solving for variable 'c'.

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

Add '12' to each side of the equation.
-12 + 27cosx + 12 + 30in2sx = 0 + 12

Reorder the terms:
-12 + 12 + 27cosx + 30in2sx = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 27cosx + 30in2sx = 0 + 12
27cosx + 30in2sx = 0 + 12

Combine like terms: 0 + 12 = 12
27cosx + 30in2sx = 12

Add '-30in2sx' to each side of the equation.
27cosx + 30in2sx + -30in2sx = 12 + -30in2sx

Combine like terms: 30in2sx + -30in2sx = 0
27cosx + 0 = 12 + -30in2sx
27cosx = 12 + -30in2sx

Divide each side by '27osx'.
c = 0.4444444444o-1s-1x-1 + -1.111111111in2o-1

Simplifying
c = 0.4444444444o-1s-1x-1 + -1.111111111in2o-1

Reorder the terms:
c = -1.111111111in2o-1 + 0.4444444444o-1s-1x-1

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