Solve 9(a^2 b^2) c^2 20 = 12(a^2b)

Evaluate

9 a^{2} b^{2} c^{2} \times 20 = 12 a^{2} b

Multiply the terms

180 a^{2} b^{2} c^{2} = 12 a^{2} b

Rewrite the expression

180 b^{2} c^{2} a^{2} = 12 b a^{2}

Add or subtract both sides

180 b^{2} c^{2} a^{2} - 12 b a^{2} = 0

Substitute a= 180 b^{2} c^{2} - 12 b,b= 0 and c= 0 into the quadratic formula a = \frac{- b \pm b ^{2} - 4 a c}{2 a}

a = \frac{0 \pm 0 ^{2} - 4 ( 180 b ^{2} c ^{2} - 12 b ) \times 0}{2 ( 180 b ^{2} c ^{2} - 12 b )}

Simplify the expression

a = \frac{0 \pm 0 ^{2} - 4 ( 180 b ^{2} c ^{2} - 12 b ) \times 0}{360 b ^{2} c ^{2} - 24 b}

Simplify the expression

More Steps

a = \frac{0 \pm 0}{360 b ^{2} c ^{2} - 24 b}

Simplify the radical expression

a = \frac{0 \pm 0}{360 b ^{2} c ^{2} - 24 b}

Separate the equation into 2 possible cases

a = \frac{0 + 0}{360 b ^{2} c ^{2} - 24 b} a = \frac{0 - 0}{360 b ^{2} c ^{2} - 24 b}

Simplify the expression

More Steps

a = 0 a = \frac{0 - 0}{360 b ^{2} c ^{2} - 24 b}

Simplify the expression

More Steps

a = 0 a = 0

Solution

a = 0

Solve the equation