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Q: Solve 2sinx-sin3x equals 0

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Tan of 0 equals zero.

Let x = theta, since it's easier to type, and is essentially the same variable. Since tan^2(x)=tan(x), you know that tan(x) must either be 1 or zero for this statement to be true. So let tan(x)=0, and solve on your calculator by taking the inverse. Similarly for, tan(x)=1

-16t2 + 64t + 1224 = 0 Multiply both sides by -1 16t2 - 64t - 1224 = 0 Divide both side by 8 2t2 - 8t - 153 = 0 Cannot be factored so use the formula (-b (+ or -)(root of b2 - 4ac)) / 2a

cotA*cotB*cotC = 1/[tanA+tanB+tanC]

f(x) = 1/x except where x = 0.

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2sinx+1 equals 0

For y - 2y - 3y equals 0, y equals 0.

x: x2 - 81 = 0

"x equals 0" is an equality, not an inequality. The question is, therefore, not consistent.

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Solve this problem -x squared -40x- 80 =0

x=2

Suppose x3-4x = 0. To solve, factor: x3-4x = x(x2-4) = x(x+2)(x-2) = 0 Now, a product equals 0 if and only one or more of the factors equals 0, so set each factor to 0 and solve. The roots are 0,-2 and +2.

Divide both sides by 8: m = 0

10x=x 9x=0 x=0

-y + y equals 0.

x=-.25.

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