Trigonometry Examples

$7 (9 - 7 (8 - c)) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1

Simplify $7 (9 - 7 (8 - c)) - 9$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Simplify each term.

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Step 1.1.1.1

Apply the distributive property.

$7 (9 - 7 \cdot 8 - 7 (- c)) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.1.1.2

Multiply $- 7$ by $8$ .

$7 (9 - 56 - 7 (- c)) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.1.1.3

Multiply $- 1$ by $- 7$ .

$7 (9 - 56 + 7 c) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.1.2

Subtract $56$ from $9$ .

$7 (- 47 + 7 c) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.1.3

Apply the distributive property.

$7 \cdot - 47 + 7 (7 c) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.1.4

Multiply $7$ by $- 47$ .

$- 329 + 7 (7 c) - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.1.5

Multiply $7$ by $7$ .

$- 329 + 49 c - 9 = 9 (7 (9 c - 8) + 6) - 82$

Step 1.2

Subtract $9$ from $- 329$ .

$49 c - 338 = 9 (7 (9 c - 8) + 6) - 82$

Step 2

Simplify $9 (7 (9 c - 8) + 6) - 82$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$49 c - 338 = 9 (7 (9 c) + 7 \cdot - 8 + 6) - 82$

Step 2.1.1.2

Multiply $9$ by $7$ .

$49 c - 338 = 9 (63 c + 7 \cdot - 8 + 6) - 82$

Step 2.1.1.3

Multiply $7$ by $- 8$ .

$49 c - 338 = 9 (63 c - 56 + 6) - 82$

Step 2.1.2

Add $- 56$ and $6$ .

$49 c - 338 = 9 (63 c - 50) - 82$

Step 2.1.3

Apply the distributive property.

$49 c - 338 = 9 (63 c) + 9 \cdot - 50 - 82$

Step 2.1.4

Multiply $63$ by $9$ .

$49 c - 338 = 567 c + 9 \cdot - 50 - 82$

Step 2.1.5

Multiply $9$ by $- 50$ .

$49 c - 338 = 567 c - 450 - 82$

Step 2.2

Subtract $82$ from $- 450$ .

$49 c - 338 = 567 c - 532$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$c \approx 0.37451737$

Step 4