Solve 7y=4y^27 - ScanMath

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

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

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

Alternative Form

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

Evaluate

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

Multiply the terms

7 y = 28 y^{2}

Swap the sides

28 y^{2} = 7 y

Move the expression to the left side

28 y^{2} - 7 y = 0

Factor the expression

More Steps

Evaluate

28 y^{2} - 7 y

Rewrite the expression

7 y \times 4 y - 7 y

Factor out 7 y from the expression

7 y (4 y - 1)

7 y (4 y - 1) = 0

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

4 y - 1 = 0 7 y = 0

Solve the equation for y

More Steps

Evaluate

4 y - 1 = 0

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

4 y = 0 + 1

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

4 y = 1

Divide both sides

\frac{4 y}{4} = \frac{1}{4}

Divide the numbers

y = \frac{1}{4}

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

Solve the equation for y

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

Solution

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

Alternative Form

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

Show Solution

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