Algebra Examples

$2 (5 c - 4) \geq 5 (2 c + 8)$

Step 1

Simplify $2 (5 c - 4)$ .

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Step 1.1

Rewrite.

$0 + 0 + 2 (5 c - 4) \geq 5 (2 c + 8)$

Step 1.2

Simplify by adding zeros.

$2 (5 c - 4) \geq 5 (2 c + 8)$

Step 1.3

Apply the distributive property.

$2 (5 c) + 2 \cdot - 4 \geq 5 (2 c + 8)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $5$ by $2$ .

$10 c + 2 \cdot - 4 \geq 5 (2 c + 8)$

Step 1.4.2

Multiply $2$ by $- 4$ .

$10 c - 8 \geq 5 (2 c + 8)$

Step 2

Simplify $5 (2 c + 8)$ .

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Step 2.1

Apply the distributive property.

$10 c - 8 \geq 5 (2 c) + 5 \cdot 8$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $2$ by $5$ .

$10 c - 8 \geq 10 c + 5 \cdot 8$

Step 2.2.2

Multiply $5$ by $8$ .

$10 c - 8 \geq 10 c + 40$

Step 3

Move all terms containing $c$ to the left side of the inequality.

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Step 3.1

Subtract $10 c$ from both sides of the inequality.

$10 c - 8 - 10 c \geq 40$

Step 3.2

Combine the opposite terms in $10 c - 8 - 10 c$ .

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Step 3.2.1

Subtract $10 c$ from $10 c$ .

$0 - 8 \geq 40$

Step 3.2.2

Subtract $8$ from $0$ .

$- 8 \geq 40$

Step 4

Since $- 8 \neq 40$ , there are no solutions.

No solution