Solve 43 ⋅(4-y) 23 ⋅(y^2)=623y

Question

Solve the equation

y_{1} = 0, y_{2} = \frac{1978 - 3296337}{989}, y_{3} = \frac{1978 + 3296337}{989}

Alternative Form

y_{1} = 0, y_{2} \approx 0.164225, y_{3} \approx 3.835775

Evaluate

43 (4 - y) \times 23 y^{2} = 623 y

Multiply

More Steps

989 y^{2} (4 - y) = 623 y

Expand the expression

More Steps

3956 y^{2} - 989 y^{3} = 623 y

Move the expression to the left side

3956 y^{2} - 989 y^{3} - 623 y = 0

Factor the expression

y (3956 y - 989 y^{2} - 623) = 0

Separate the equation into 2 possible cases

y = 0 3956 y - 989 y^{2} - 623 = 0

Solve the equation

More Steps

y = 0 y = \frac{1978 + 3296337}{989} y = \frac{1978 - 3296337}{989}

Solution

y_{1} = 0, y_{2} = \frac{1978 - 3296337}{989}, y_{3} = \frac{1978 + 3296337}{989}

Alternative Form

y_{1} = 0, y_{2} \approx 0.164225, y_{3} \approx 3.835775

Show Solution