Solve (-3y 1)(4y^2-y-7) - Socratic AI (ScanMath)

Evaluate

(- 3 y \times 1) (4 y^{2} - y - 7)

To find the roots of the expression,set the expression equal to 0

(- 3 y \times 1) (4 y^{2} - y - 7) = 0

Multiply the terms

(- 3 y) (4 y^{2} - y - 7) = 0

Remove the parentheses

- 3 y (4 y^{2} - y - 7) = 0

Change the sign

3 y (4 y^{2} - y - 7) = 0

Elimination the left coefficient

y (4 y^{2} - y - 7) = 0

Separate the equation into 2 possible cases

y = 0 4 y^{2} - y - 7 = 0

Solve the equation

More Steps

y = 0 y = \frac{1 + 113}{8} y = \frac{1 - 113}{8}

Solution

y_{1} = \frac{1 - 113}{8}, y_{2} = 0, y_{3} = \frac{1 + 113}{8}

Alternative Form

y_{1} \approx - 1.203768, y_{2} = 0, y_{3} \approx 1.453768

( 3y 1)(4y^2 Y 7)