Solve 3/a^2b^2=7/[4(a b) 1]

Evaluate

\frac{3}{a ^{2}} \times b^{2} = \frac{7}{4 ab \times 1}

Multiply the terms

\frac{3 b ^{2}}{a ^{2}} = \frac{7}{4 ab \times 1}

Any expression multiplied by 1 remains the same

\frac{3 b ^{2}}{a ^{2}} = \frac{7}{4 ab}

Rewrite the expression

\frac{3 b ^{2}}{a ^{2}} = \frac{7}{4 ba}

Cross multiply

3 b^{2} \times 4 ba = a^{2} \times 7

Simplify the equation

12 b^{3} a = a^{2} \times 7

Simplify the equation

12 b^{3} a = 7 a^{2}

Add or subtract both sides

12 b^{3} a - 7 a^{2} = 0

Factor the expression

More Steps

a (12 b^{3} - 7 a) = 0

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

a = 0 12 b^{3} - 7 a = 0

Solution

More Steps

a = 0 a = \frac{12 b ^{3}}{7}

Solve the equation