Solve b^2x^2y^3 (- 3xy )=- 3x^2y^26x^3y^4

Question

Solve the equation

Solve for x

Solve for b

Solve for y

x = 0 x = \frac{6 \times ∣ b ∣}{6 ∣ y ∣} x = - \frac{6 \times ∣ b ∣}{6 ∣ y ∣}

Evaluate

b^{2} x^{2} y^{3} (- 3 x y) = - 3 x^{2} y^{2} \times 6 x^{3} y^{4}

Multiply

More Steps

- 3 b^{2} x^{3} y^{4} = - 3 x^{2} y^{2} \times 6 x^{3} y^{4}

Multiply

More Steps

- 3 b^{2} x^{3} y^{4} = - 18 x^{5} y^{6}

Rewrite the expression

- 3 b^{2} y^{4} x^{3} = - 18 y^{6} x^{5}

Add or subtract both sides

- 3 b^{2} y^{4} x^{3} - (- 18 y^{6} x^{5}) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 3 b^{2} y^{4} x^{3} + 18 y^{6} x^{5} = 0

Factor the expression

3 y^{4} x^{3} (- b^{2} + 6 y^{2} x^{2}) = 0

Divide both sides

x^{3} (- b^{2} + 6 y^{2} x^{2}) = 0

Separate the equation into 2 possible cases

x^{3} = 0 - b^{2} + 6 y^{2} x^{2} = 0

The only way a power can be 0 is when the base equals 0

x = 0 - b^{2} + 6 y^{2} x^{2} = 0

Solution

More Steps

x = 0 x = \frac{6 \times ∣ b ∣}{6 ∣ y ∣} x = - \frac{6 \times ∣ b ∣}{6 ∣ y ∣}

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