Solve 400k^2-40k 1=0

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Type your math problem... 400k^2-40k 1=0

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

k_{1} = 0, k_{2} = \frac{1}{10}

Alternative Form

k_{1} = 0, k_{2} = 0.1

Evaluate

400 k^{2} - 40 k \times 1 = 0

Multiply the terms

400 k^{2} - 40 k = 0

Factor the expression

More Steps

Evaluate

400 k^{2} - 40 k

Rewrite the expression

40 k \times 10 k - 40 k

Factor out 40 k from the expression

40 k (10 k - 1)

40 k (10 k - 1) = 0

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

10 k - 1 = 0 40 k = 0

Solve the equation for k

More Steps

Evaluate

10 k - 1 = 0

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

10 k = 0 + 1

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

10 k = 1

Divide both sides

\frac{10 k}{10} = \frac{1}{10}

Divide the numbers

k = \frac{1}{10}

k = \frac{1}{10} 40 k = 0

Solve the equation for k

k = \frac{1}{10} k = 0

Solution

k_{1} = 0, k_{2} = \frac{1}{10}

Alternative Form

k_{1} = 0, k_{2} = 0.1

Show Solution

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