Solve 4m^(3) - 7m^(2)-2m

Question

Factor the expression

m (m - 2) (4 m + 1)

Evaluate

4 m^{3} - 7 m^{2} - 2 m

Rewrite the expression

m \times 4 m^{2} - m \times 7 m - m \times 2

Factor out m from the expression

m (4 m^{2} - 7 m - 2)

Solution

More Steps

Evaluate

4 m^{2} - 7 m - 2

Rewrite the expression

4 m^{2} + (1 - 8) m - 2

Calculate

4 m^{2} + m - 8 m - 2

Rewrite the expression

m \times 4 m + m - 2 \times 4 m - 2

Factor out m from the expression

m (4 m + 1) - 2 \times 4 m - 2

Factor out - 2 from the expression

m (4 m + 1) - 2 (4 m + 1)

Factor out 4 m + 1 from the expression

(m - 2) (4 m + 1)

m (m - 2) (4 m + 1)

Show Solution

m_{1} = - \frac{1}{4}, m_{2} = 0, m_{3} = 2

Alternative Form

m_{1} = - 0.25, m_{2} = 0, m_{3} = 2

Evaluate

4 m^{3} - 7 m^{2} - 2 m

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

4 m^{3} - 7 m^{2} - 2 m = 0

Factor the expression

m (m - 2) (4 m + 1) = 0

Separate the equation into 3 possible cases

m = 0 m - 2 = 0 4 m + 1 = 0

Solve the equation

More Steps

Evaluate

m - 2 = 0

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

m = 0 + 2

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

m = 2

m = 0 m = 2 4 m + 1 = 0

Solve the equation

More Steps

Evaluate

4 m + 1 = 0

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

4 m = 0 - 1

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

4 m = - 1

Divide both sides

\frac{4 m}{4} = \frac{- 1}{4}

Divide the numbers

m = \frac{- 1}{4}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

m = - \frac{1}{4}

m = 0 m = 2 m = - \frac{1}{4}

Solution

m_{1} = - \frac{1}{4}, m_{2} = 0, m_{3} = 2

Alternative Form

m_{1} = - 0.25, m_{2} = 0, m_{3} = 2

Show Solution