Solve v1m1a1 = v^2m^2a^2

Evaluate

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

Any expression multiplied by 1 remains the same

v ma = v^{2} m^{2} a^{2}

Add or subtract both sides

v ma - v^{2} m^{2} a^{2} = 0

Expand the expression

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m v a - m^{2} v^{2} a^{2} = 0

Factor the expression

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m v a (1 - m v a) = 0

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

m v a = 0 1 - m v a = 0

Solve the equation for a

a = 0 1 - m v a = 0

Solution

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a = 0 a = \frac{1}{m v}