Algebra Examples

$m - (7 x^{2} + 3.2 x y - 4.3 y^{2}) = 2 x^{2} + 0.5 y^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$m - (7 x^{2}) - (3.2 x y) - (- 4.3 y^{2}) = 2 x^{2} + 0.5 y^{2}$

Step 1.2

Simplify.

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Step 1.2.1

Multiply $7$ by $- 1$ .

$m - 7 x^{2} - (3.2 x y) - (- 4.3 y^{2}) = 2 x^{2} + 0.5 y^{2}$

Step 1.2.2

Multiply $3.2$ by $- 1$ .

$m - 7 x^{2} - 3.2 (x y) - (- 4.3 y^{2}) = 2 x^{2} + 0.5 y^{2}$

Step 1.2.3

Multiply $- 4.3$ by $- 1$ .

$m - 7 x^{2} - 3.2 (x y) + 4.3 y^{2} = 2 x^{2} + 0.5 y^{2}$

$m - 7 x^{2} - 3.2 x y + 4.3 y^{2} = 2 x^{2} + 0.5 y^{2}$

Step 2

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

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Step 2.1

Add $7 x^{2}$ to both sides of the equation.

$m - 3.2 x y + 4.3 y^{2} = 2 x^{2} + 0.5 y^{2} + 7 x^{2}$

Step 2.2

Add $3.2 x y$ to both sides of the equation.

$m + 4.3 y^{2} = 2 x^{2} + 0.5 y^{2} + 7 x^{2} + 3.2 x y$

Step 2.3

Subtract $4.3 y^{2}$ from both sides of the equation.

$m = 2 x^{2} + 0.5 y^{2} + 7 x^{2} + 3.2 x y - 4.3 y^{2}$

Step 2.4

Add $2 x^{2}$ and $7 x^{2}$ .

$m = 9 x^{2} + 0.5 y^{2} + 3.2 x y - 4.3 y^{2}$

Step 2.5

Subtract $4.3 y^{2}$ from $0.5 y^{2}$ .

$m = 9 x^{2} - 3.8 y^{2} + 3.2 x y$