Solve 7x=4x^27 - ScanMath

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Type your math problem... 7x=4x^27

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

x_{1} = 0, x_{2} = \frac{1}{4}

Alternative Form

x_{1} = 0, x_{2} = 0.25

Evaluate

7 x = 4 x^{2} \times 7

Multiply the terms

7 x = 28 x^{2}

Swap the sides

28 x^{2} = 7 x

Move the expression to the left side

28 x^{2} - 7 x = 0

Factor the expression

More Steps

Evaluate

28 x^{2} - 7 x

Rewrite the expression

7 x \times 4 x - 7 x

Factor out 7 x from the expression

7 x (4 x - 1)

7 x (4 x - 1) = 0

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

4 x - 1 = 0 7 x = 0

Solve the equation for x

More Steps

Evaluate

4 x - 1 = 0

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

4 x = 0 + 1

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

4 x = 1

Divide both sides

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

Divide the numbers

x = \frac{1}{4}

x = \frac{1}{4} 7 x = 0

Solve the equation for x

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

Solution

x_{1} = 0, x_{2} = \frac{1}{4}

Alternative Form

x_{1} = 0, x_{2} = 0.25

Show Solution

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