Solve a b=2 a^2 b^2

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Example problems

Type your math problem... a b=2 a^2 b^2

Question

Solve the equation

Solve for a

Solve for b

a = 0 a = \frac{1}{2 b}

Evaluate

ab = 2 a^{2} b^{2}

Rewrite the expression

ba = 2 b^{2} a^{2}

Add or subtract both sides

ba - 2 b^{2} a^{2} = 0

Factor the expression

More Steps

Evaluate

ba - 2 b^{2} a^{2}

Rewrite the expression

ba - ba \times 2 ba

Factor out ba from the expression

ba (1 - 2 ba)

ba (1 - 2 ba) = 0

When the product of factors equals 0,at least one factor is 0

ba = 0 1 - 2 ba = 0

Solve the equation for a

a = 0 1 - 2 ba = 0

Solution

More Steps

Evaluate

1 - 2 ba = 0

Move the constant to the right-hand side and change its sign

- 2 ba = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

- 2 ba = - 1

Divide both sides

\frac{- 2 ba}{- 2 b} = \frac{- 1}{- 2 b}

Divide the numbers

a = \frac{- 1}{- 2 b}

Cancel out the common factor - 1

a = \frac{1}{2 b}

a = 0 a = \frac{1}{2 b}

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