Solve a: -54a = 27 a

Evaluate

a \div (- 54) a = 27 a

Simplify

More Steps

- \frac{a ^{2}}{54} = 27 a

Multiply both sides of the equation by LCD

- \frac{a ^{2}}{54} \times 54 = 27 a \times 54

Simplify the equation

- a^{2} = 27 a \times 54

Simplify the equation

- a^{2} = 1458 a

Move the expression to the left side

- a^{2} - 1458 a = 0

Factor the expression

More Steps

- a (a + 1458) = 0

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

- a = 0 a + 1458 = 0

Solve the equation for a

a = 0 a + 1458 = 0

Solve the equation for a

More Steps

a = 0 a = - 1458

Solution

a_{1} = - 1458, a_{2} = 0

A: 54a = 27 a