Solve (5/4)x = (1/4)x^2 1

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Type your math problem... (5/4)x = (1/4)x^2 1

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = 5

Evaluate

\frac{5}{4} x = \frac{1}{4} x^{2} \times 1

Multiply the terms

\frac{5}{4} x = \frac{1}{4} x^{2}

Swap the sides

\frac{1}{4} x^{2} = \frac{5}{4} x

Move the expression to the left side

\frac{1}{4} x^{2} - \frac{5}{4} x = 0

Factor the expression

More Steps

Evaluate

\frac{1}{4} x^{2} - \frac{5}{4} x

Rewrite the expression

\frac{1}{4} x \times x - \frac{1}{4} x \times 5

Factor out \frac{1}{4} x from the expression

\frac{1}{4} x (x - 5)

\frac{1}{4} x (x - 5) = 0

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

x - 5 = 0 \frac{1}{4} x = 0

Solve the equation for x

More Steps

Evaluate

x - 5 = 0

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

x = 0 + 5

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

x = 5

x = 5 \frac{1}{4} x = 0

Solve the equation for x

x = 5 x = 0

Solution

x_{1} = 0, x_{2} = 5

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