Trigonometry Examples

$18 (v + 1) - 2 v = 4 (4 v + 4) - 25$

Step 1

Simplify $18 (v + 1) - 2 v$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$18 v + 18 \cdot 1 - 2 v = 4 (4 v + 4) - 25$

Step 1.1.2

Multiply $18$ by $1$ .

$18 v + 18 - 2 v = 4 (4 v + 4) - 25$

Step 1.2

Subtract $2 v$ from $18 v$ .

$16 v + 18 = 4 (4 v + 4) - 25$

Step 2

Simplify $4 (4 v + 4) - 25$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$16 v + 18 = 4 (4 v) + 4 \cdot 4 - 25$

Step 2.1.2

Multiply $4$ by $4$ .

$16 v + 18 = 16 v + 4 \cdot 4 - 25$

Step 2.1.3

Multiply $4$ by $4$ .

$16 v + 18 = 16 v + 16 - 25$

Step 2.2

Subtract $25$ from $16$ .

$16 v + 18 = 16 v - 9$

Step 3

Move all terms containing $v$ to the left side of the equation.

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Step 3.1

Subtract $16 v$ from both sides of the equation.

$16 v + 18 - 16 v = - 9$

Step 3.2

Combine the opposite terms in $16 v + 18 - 16 v$ .

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Step 3.2.1

Subtract $16 v$ from $16 v$ .

$0 + 18 = - 9$

Step 3.2.2

Add $0$ and $18$ .

$18 = - 9$

Step 4

Since $18 \neq - 9$ , there are no solutions.

No solution