Algebra Examples

$6 {(x - 2)}^{2} + 3 y = 3$

Subtract $6 {(x - 2)}^{2}$ from both sides of the equation.

$3 y = - 6 {(x - 2)}^{2} + 3$

Isolate $y$ to the left side of the equation.

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Divide $3 y$ by $3$ to get $y$ .

$y = - 6 {(x - 2)}^{2} + 3$

Divide $- 6 {(x - 2)}^{2}$ by $3$ .

$y = - \frac{6 {(x - 2)}^{2}}{3} + 3$

Reduce the expression by cancelling out all common factors from the numerator and denominator.

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Divide $6$ by $3$ to get $2$ .

$y = - 1 \cdot (2 {(x - 2)}^{2}) + 3$

Multiply $- 1$ by $2$ to get $- 2$ .

$y = - 2 {(x - 2)}^{2} + 3$

Divide $3$ by $3$ .

$y = - 2 {(x - 2)}^{2} + \frac{3}{3}$

Divide $3$ by $3$ to get $1$ .

$y = - 2 {(x - 2)}^{2} + 1$

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