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2x^2 27x 81=0

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Type your math problem... 2x^2-27x 81=0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = \frac{2187}{2}

Alternative Form

x_{1} = 0, x_{2} = 1093.5

Evaluate

2 x^{2} - 27 x \times 81 = 0

Multiply the terms

2 x^{2} - 2187 x = 0

Factor the expression

More Steps

Evaluate

2 x^{2} - 2187 x

Rewrite the expression

x \times 2 x - x \times 2187

Factor out x from the expression

x (2 x - 2187)

x (2 x - 2187) = 0

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

2 x - 2187 = 0 x = 0

Solve the equation for x

More Steps

Evaluate

2 x - 2187 = 0

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

2 x = 0 + 2187

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

2 x = 2187

Divide both sides

\frac{2 x}{2} = \frac{2187}{2}

Divide the numbers

x = \frac{2187}{2}

x = \frac{2187}{2} x = 0

Solution

x_{1} = 0, x_{2} = \frac{2187}{2}

Alternative Form

x_{1} = 0, x_{2} = 1093.5

Show Solution

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