Solve 2j^2 -5 -3j -9j-j -2j^2

Question

Simplify the expression

- 5 - 13 j

Evaluate

2 j^{2} - 5 - 3 j - 9 j - j - 2 j^{2}

The sum of two opposites equals 0

More Steps

Evaluate

2 j^{2} - 2 j^{2}

Collect like terms

(2 - 2) j^{2}

Add the coefficients

0 \times j^{2}

Calculate

0

0 - 5 - 3 j - 9 j - j

Remove 0

- 5 - 3 j - 9 j - j

Solution

More Steps

Evaluate

- 3 j - 9 j - j

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

(- 3 - 9 - 1) j

Subtract the numbers

- 13 j

- 5 - 13 j

Show Solution

Find the roots

j = - \frac{5}{13}

Alternative Form

j = - 0. \dot{3} 8461 \dot{5}

Evaluate

2 j^{2} - 5 - 3 j - 9 j - j - 2 j^{2}

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

2 j^{2} - 5 - 3 j - 9 j - j - 2 j^{2} = 0

Subtract the terms

More Steps

Simplify

2 j^{2} - 5 - 3 j - 9 j

Subtract the terms

More Steps

Evaluate

- 3 j - 9 j

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

(- 3 - 9) j

Subtract the numbers

- 12 j

2 j^{2} - 5 - 12 j

2 j^{2} - 5 - 12 j - j - 2 j^{2} = 0

Subtract the terms

More Steps

Simplify

2 j^{2} - 5 - 12 j - j

Subtract the terms

More Steps

Evaluate

- 12 j - j

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

(- 12 - 1) j

Subtract the numbers

- 13 j

2 j^{2} - 5 - 13 j

2 j^{2} - 5 - 13 j - 2 j^{2} = 0

Subtract the terms

More Steps

Simplify

2 j^{2} - 5 - 13 j - 2 j^{2}

The sum of two opposites equals 0

More Steps

Evaluate

2 j^{2} - 2 j^{2}

Collect like terms

(2 - 2) j^{2}

Add the coefficients

0 \times j^{2}

Calculate

0

0 - 5 - 13 j

Remove 0

- 5 - 13 j

- 5 - 13 j = 0

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

- 13 j = 0 + 5

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

- 13 j = 5

Change the signs on both sides of the equation

13 j = - 5

Divide both sides

\frac{13 j}{13} = \frac{- 5}{13}

Divide the numbers

j = \frac{- 5}{13}

Solution

j = - \frac{5}{13}

Alternative Form

j = - 0. \dot{3} 8461 \dot{5}

Show Solution