Basic Math Examples

${(- 1400 - 100)}^{2} (0.3) + {(200 - 100)}^{2} (0.5) + {(5000 - 100)}^{2} + 0.2$

Step 1

Simplify each term.

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Step 1.1

Subtract $100$ from $- 1400$ .

${(- 1500)}^{2} \cdot 0.3 + {(200 - 100)}^{2} (0.5) + {(5000 - 100)}^{2} + 0.2$

Step 1.2

Raise $- 1500$ to the power of $2$ .

$2250000 \cdot 0.3 + {(200 - 100)}^{2} (0.5) + {(5000 - 100)}^{2} + 0.2$

Step 1.3

Multiply $2250000$ by $0.3$ .

$675000 + {(200 - 100)}^{2} (0.5) + {(5000 - 100)}^{2} + 0.2$

Step 1.4

Subtract $100$ from $200$ .

$675000 + 100^{2} \cdot 0.5 + {(5000 - 100)}^{2} + 0.2$

Step 1.5

Raise $100$ to the power of $2$ .

$675000 + 10000 \cdot 0.5 + {(5000 - 100)}^{2} + 0.2$

Step 1.6

Multiply $10000$ by $0.5$ .

$675000 + 5000 + {(5000 - 100)}^{2} + 0.2$

Step 1.7

Subtract $100$ from $5000$ .

$675000 + 5000 + 4900^{2} + 0.2$

Step 1.8

Raise $4900$ to the power of $2$ .

$675000 + 5000 + 24010000 + 0.2$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $675000$ and $5000$ .

$680000 + 24010000 + 0.2$

Step 2.2

Add $680000$ and $24010000$ .

$24690000 + 0.2$

Step 2.3

Add $24690000$ and $0.2$ .

$24690000.2$