Basic Math Examples

$3075 = a (5392.3 \cdot 5392.3) + b (5392.3) + c$

Step 1

Rewrite the equation as $a \cdot 5392.3 \cdot 5392.3 + b (5392.3) + c = 3075$ .

$a \cdot 5392.3 \cdot 5392.3 + b (5392.3) + c = 3075$

Step 2

Simplify each term.

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Step 2.1

Move $5392.3$ to the left of $a$ .

$5392.3 \cdot a \cdot 5392.3 + b (5392.3) + c = 3075$

Step 2.2

Multiply $5392.3$ by $5392.3$ .

$29076899.29 a + b (5392.3) + c = 3075$

Step 2.3

Move $5392.3$ to the left of $b$ .

$29076899.29 a + 5392.3 b + c = 3075$

Step 3

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

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Step 3.1

Subtract $29076899.29 a$ from both sides of the equation.

$5392.3 b + c = 3075 - 29076899.29 a$

Step 3.2

Subtract $5392.3 b$ from both sides of the equation.

$c = 3075 - 29076899.29 a - 5392.3 b$