What is the general solution for 21=3*2*25sin(x)+9.8*3*2*3*2*0.5 ?

The general solution for 21=3*2*25sin(x)+9.8*3*2*3*2*0.5 is No Solution for x\in\mathbb{R}

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21=3225sin(x)+9.832*320.5

21 = 3 \cdot 2 \cdot 25 sin (x) + 9.8 \cdot 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5

No Solution for x \in R

Solution steps

21 = 3 \cdot 2 \cdot 25 sin (x) + 9.8 \cdot 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5

Switch sides

3 \cdot 2 \cdot 25 sin (x) + 9.8 \cdot 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5 = 21

Multiply the numbers:

3 \cdot 2 \cdot 25 = 150

150 sin (x) + 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5 \cdot 9.8 = 21

Multiply the numbers:

9.8 \cdot 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5 = 176.4

150 sin (x) + 176.4 = 21

Move

176.4

to the right side

150 sin (x) + 176.4 = 21

Subtract

176.4

from both sides

150 sin (x) + 176.4 - 176.4 = 21 - 176.4

Simplify

150 sin (x) = - 155.4

150 sin (x) = - 155.4

Divide both sides by

150

150 sin (x) = - 155.4

Divide both sides by

150

\frac{150 sin ( x )}{150} = \frac{- 155.4}{150}

Simplify

\frac{150 sin ( x )}{150} = \frac{- 155.4}{150}

Simplify

\frac{150 sin ( x )}{150} : sin (x)

\frac{150 sin ( x )}{150}

Divide the numbers:

\frac{150}{150} = 1

= sin (x)

Simplify

\frac{- 155.4}{150} : - 1.036

\frac{- 155.4}{150}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{155.4}{150}

Divide the numbers:

\frac{155.4}{150} = 1.036

= - 1.036

sin (x) = - 1.036

sin (x) = - 1.036

sin (x) = - 1.036

- 1 \leq sin (x) \leq 1

No Solution for x \in R

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What is the general solution for 21=3*2*25sin(x)+9.8*3*2*3*2*0.5 ?
The general solution for 21=3*2*25sin(x)+9.8*3*2*3*2*0.5 is No Solution for x\in\mathbb{R}