Solve 4m(m^3)-7(m^3)

Question

Simplify the expression

4 m^{4} - 7 m^{3}

Evaluate

4 m \times m^{3} - 7 m^{3}

Solution

More Steps

Evaluate

4 m \times m^{3}

Multiply the terms with the same base by adding their exponents

4 m^{1 + 3}

Add the numbers

4 m^{4}

4 m^{4} - 7 m^{3}

Show Solution

m^{3} (4 m - 7)

Evaluate

4 m \times m^{3} - 7 m^{3}

Multiply

More Steps

Evaluate

4 m \times m^{3}

Multiply the terms with the same base by adding their exponents

4 m^{1 + 3}

Add the numbers

4 m^{4}

4 m^{4} - 7 m^{3}

Rewrite the expression

m^{3} \times 4 m - m^{3} \times 7

Solution

m^{3} (4 m - 7)

Show Solution

m_{1} = 0, m_{2} = \frac{7}{4}

Alternative Form

m_{1} = 0, m_{2} = 1.75

Evaluate

4 m (m^{3}) - 7 (m^{3})

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

4 m (m^{3}) - 7 (m^{3}) = 0

Calculate

4 m \times m^{3} - 7 (m^{3}) = 0

Calculate

4 m \times m^{3} - 7 m^{3} = 0

Multiply

More Steps

Multiply the terms

4 m \times m^{3}

Multiply the terms with the same base by adding their exponents

4 m^{1 + 3}

Add the numbers

4 m^{4}

4 m^{4} - 7 m^{3} = 0

Factor the expression

m^{3} (4 m - 7) = 0

Separate the equation into 2 possible cases

m^{3} = 0 4 m - 7 = 0

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

m = 0 4 m - 7 = 0

Solve the equation

More Steps

Evaluate

4 m - 7 = 0

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

4 m = 0 + 7

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

4 m = 7

Divide both sides

\frac{4 m}{4} = \frac{7}{4}

Divide the numbers

m = \frac{7}{4}

m = 0 m = \frac{7}{4}

Solution

m_{1} = 0, m_{2} = \frac{7}{4}

Alternative Form

m_{1} = 0, m_{2} = 1.75

Show Solution