Algebra Examples

$y = a x^{2} + b x + c$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $a x^{2}$ from both sides of the equation.

$y - a x^{2} = b x + c$

Step 1.2

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

$y - a x^{2} - b x = c$

Step 1.3

Subtract $c$ from both sides of the equation.

$y - a x^{2} - b x - c = 0$

Step 2

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

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Step 2.1

Add $a x^{2}$ to both sides of the equation.

$y - b x - c = a x^{2}$

Step 2.2

Add $b x$ to both sides of the equation.

$y - c = a x^{2} + b x$

Step 2.3

Add $c$ to both sides of the equation.

$y = a x^{2} + b x + c$