Solve m1v1=m^2m^2

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Example problems

Type your math problem... m1v1=m^2m^2

Question

Solve the equation

Solve for m

Solve for v

m = 0 m = 3 v

Evaluate

m \times 1 \times v \times 1 = m^{2} \times m^{2}

Multiply the terms

m v = m^{2} \times m^{2}

Multiply the terms

More Steps

Evaluate

m^{2} \times m^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

m^{2 + 2}

Add the numbers

m^{4}

m v = m^{4}

Rewrite the expression

v m = m^{4}

Move the expression to the left side

v m - m^{4} = 0

Factor the expression

m (v - m^{3}) = 0

Separate the equation into 2 possible cases

m = 0 v - m^{3} = 0

Solution

More Steps

Evaluate

v - m^{3} = 0

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

- m^{3} = 0 - v

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

- m^{3} = - v

Change the signs on both sides of the equation

m^{3} = v

Take the 3 -th root on both sides of the equation

3 m^{3} = 3 v

Calculate

m = 3 v

m = 0 m = 3 v

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