Solve 25m^3 - 5m^2 - 15m^3

Question

Simplify the expression

10 m^{3} - 5 m^{2}

Evaluate

25 m^{3} - 5 m^{2} - 15 m^{3}

Solution

More Steps

Evaluate

25 m^{3} - 15 m^{3}

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

(25 - 15) m^{3}

Subtract the numbers

10 m^{3}

10 m^{3} - 5 m^{2}

Show Solution

5 m^{2} (2 m - 1)

Evaluate

25 m^{3} - 5 m^{2} - 15 m^{3}

Subtract the terms

More Steps

Evaluate

25 m^{3} - 15 m^{3}

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

(25 - 15) m^{3}

Subtract the numbers

10 m^{3}

10 m^{3} - 5 m^{2}

Rewrite the expression

5 m^{2} \times 2 m - 5 m^{2}

Solution

5 m^{2} (2 m - 1)

Show Solution

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

Alternative Form

m_{1} = 0, m_{2} = 0.5

Evaluate

25 m^{3} - 5 m^{2} - 15 m^{3}

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

25 m^{3} - 5 m^{2} - 15 m^{3} = 0

Subtract the terms

More Steps

Simplify

25 m^{3} - 5 m^{2} - 15 m^{3}

Subtract the terms

More Steps

Evaluate

25 m^{3} - 15 m^{3}

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

(25 - 15) m^{3}

Subtract the numbers

10 m^{3}

10 m^{3} - 5 m^{2}

10 m^{3} - 5 m^{2} = 0

Factor the expression

5 m^{2} (2 m - 1) = 0

Divide both sides

m^{2} (2 m - 1) = 0

Separate the equation into 2 possible cases

m^{2} = 0 2 m - 1 = 0

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

m = 0 2 m - 1 = 0

Solve the equation

More Steps

Evaluate

2 m - 1 = 0

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

2 m = 0 + 1

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

2 m = 1

Divide both sides

\frac{2 m}{2} = \frac{1}{2}

Divide the numbers

m = \frac{1}{2}

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

Solution

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

Alternative Form

m_{1} = 0, m_{2} = 0.5

Show Solution