Solve 2m^4-2m^3-3m^23m

Question

Simplify the expression

Solution

2 m^{4} - 11 m^{3}

Evaluate

2 m^{4} - 2 m^{3} - 3 m^{2} \times 3 m

Multiply

More Steps

Multiply the terms

- 3 m^{2} \times 3 m

Multiply the terms

- 9 m^{2} \times m

Multiply the terms with the same base by adding their exponents

- 9 m^{2 + 1}

Add the numbers

- 9 m^{3}

2 m^{4} - 2 m^{3} - 9 m^{3}

Solution

More Steps

Evaluate

- 2 m^{3} - 9 m^{3}

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

(- 2 - 9) m^{3}

Subtract the numbers

- 11 m^{3}

2 m^{4} - 11 m^{3}

Show Solution

Factor the expression

Factor

m^{3} (2 m - 11)

Evaluate

2 m^{4} - 2 m^{3} - 3 m^{2} \times 3 m

Multiply

More Steps

Multiply the terms

3 m^{2} \times 3 m

Multiply the terms

9 m^{2} \times m

Multiply the terms with the same base by adding their exponents

9 m^{2 + 1}

Add the numbers

9 m^{3}

2 m^{4} - 2 m^{3} - 9 m^{3}

Subtract the terms

More Steps

Evaluate

- 2 m^{3} - 9 m^{3}

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

(- 2 - 9) m^{3}

Subtract the numbers

- 11 m^{3}

2 m^{4} - 11 m^{3}

Rewrite the expression

m^{3} \times 2 m - m^{3} \times 11

Solution

m^{3} (2 m - 11)

Show Solution

Find the roots

Find the roots of the algebra expression

m_{1} = 0, m_{2} = \frac{11}{2}

Alternative Form

m_{1} = 0, m_{2} = 5.5

Evaluate

2 m^{4} - 2 m^{3} - 3 m^{2} \times 3 m

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

2 m^{4} - 2 m^{3} - 3 m^{2} \times 3 m = 0

Multiply

More Steps

Multiply the terms

3 m^{2} \times 3 m

Multiply the terms

9 m^{2} \times m

Multiply the terms with the same base by adding their exponents

9 m^{2 + 1}

Add the numbers

9 m^{3}

2 m^{4} - 2 m^{3} - 9 m^{3} = 0

Subtract the terms

More Steps

Simplify

2 m^{4} - 2 m^{3} - 9 m^{3}

Subtract the terms

More Steps

Evaluate

- 2 m^{3} - 9 m^{3}

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

(- 2 - 9) m^{3}

Subtract the numbers

- 11 m^{3}

2 m^{4} - 11 m^{3}

2 m^{4} - 11 m^{3} = 0

Factor the expression

m^{3} (2 m - 11) = 0

Separate the equation into 2 possible cases

m^{3} = 0 2 m - 11 = 0

The only way a power can be 0 is when the base equals 0

m = 0 2 m - 11 = 0

Solve the equation

More Steps

Evaluate

2 m - 11 = 0

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

2 m = 0 + 11

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

2 m = 11

Divide both sides

\frac{2 m}{2} = \frac{11}{2}

Divide the numbers

m = \frac{11}{2}

m = 0 m = \frac{11}{2}

Solution

m_{1} = 0, m_{2} = \frac{11}{2}

Alternative Form

m_{1} = 0, m_{2} = 5.5

Show Solution

2m^4 2m^3 3m^23m

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression