Finite Math Examples

$5 = a {(2)}^{2} + b (2) + c$

Step 1

Rewrite the equation as $a \cdot 2^{2} + b (2) + c = 5$ .

$a \cdot 2^{2} + b (2) + c = 5$

Step 2

Simplify each term.

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Step 2.1

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

$a \cdot 4 + b (2) + c = 5$

Step 2.2

Move $4$ to the left of $a$ .

$4 \cdot a + b (2) + c = 5$

Step 2.3

Move $2$ to the left of $b$ .

$4 a + 2 b + c = 5$

Step 3

Move all terms not containing $c$ to the right side of the equation.

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Step 3.1

Subtract $4 a$ from both sides of the equation.

$2 b + c = 5 - 4 a$

Step 3.2

Subtract $2 b$ from both sides of the equation.

$c = 5 - 4 a - 2 b$