Solve 5-2y^2 -3y^2y^2 -7y-33y^2

Question

Simplify the expression

5 - 35 y^{2} - 3 y^{4} - 7 y

Evaluate

5 - 2 y^{2} - 3 y^{2} \times y^{2} - 7 y - 33 y^{2}

Multiply

More Steps

Multiply the terms

- 3 y^{2} \times y^{2}

Multiply the terms with the same base by adding their exponents

- 3 y^{2 + 2}

Add the numbers

- 3 y^{4}

5 - 2 y^{2} - 3 y^{4} - 7 y - 33 y^{2}

Solution

More Steps

Evaluate

- 2 y^{2} - 33 y^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 2 - 33) y^{2}

Subtract the numbers

- 35 y^{2}

5 - 35 y^{2} - 3 y^{4} - 7 y

Show Solution

y_{1} \approx - 0.484863, y_{2} \approx 0.290191

Evaluate

5 - 2 y^{2} - 3 y^{2} \times y^{2} - 7 y - 33 y^{2}

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

5 - 2 y^{2} - 3 y^{2} \times y^{2} - 7 y - 33 y^{2} = 0

Multiply

More Steps

Multiply the terms

3 y^{2} \times y^{2}

Multiply the terms with the same base by adding their exponents

3 y^{2 + 2}

Add the numbers

3 y^{4}

5 - 2 y^{2} - 3 y^{4} - 7 y - 33 y^{2} = 0

Subtract the terms

More Steps

Simplify

5 - 2 y^{2} - 3 y^{4} - 7 y - 33 y^{2}

Subtract the terms

More Steps

Evaluate

- 2 y^{2} - 33 y^{2}

Collect like terms by calculating the sum or difference of their coefficients

(- 2 - 33) y^{2}

Subtract the numbers

- 35 y^{2}

5 - 35 y^{2} - 3 y^{4} - 7 y

5 - 35 y^{2} - 3 y^{4} - 7 y = 0

Calculate

y \approx - 0.484863 y \approx 0.290191

Solution

y_{1} \approx - 0.484863, y_{2} \approx 0.290191

Show Solution