Solve (5m-8)(5m-7)

Question

Simplify the expression

25 m^{2} - 75 m + 56

Evaluate

(5 m - 8) (5 m - 7)

Apply the distributive property

5 m \times 5 m - 5 m \times 7 - 8 \times 5 m - (- 8 \times 7)

Multiply the terms

More Steps

Evaluate

5 m \times 5 m

Multiply the numbers

25 m \times m

Multiply the terms

25 m^{2}

25 m^{2} - 5 m \times 7 - 8 \times 5 m - (- 8 \times 7)

Multiply the numbers

25 m^{2} - 35 m - 8 \times 5 m - (- 8 \times 7)

Multiply the numbers

25 m^{2} - 35 m - 40 m - (- 8 \times 7)

Multiply the numbers

25 m^{2} - 35 m - 40 m - (- 56)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

25 m^{2} - 35 m - 40 m + 56

Solution

More Steps

Evaluate

- 35 m - 40 m

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

(- 35 - 40) m

Subtract the numbers

- 75 m

25 m^{2} - 75 m + 56

Show Solution

Find the roots

m_{1} = \frac{7}{5}, m_{2} = \frac{8}{5}

Alternative Form

m_{1} = 1.4, m_{2} = 1.6

Evaluate

(5 m - 8) (5 m - 7)

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

(5 m - 8) (5 m - 7) = 0

Separate the equation into 2 possible cases

5 m - 8 = 0 5 m - 7 = 0

Solve the equation

More Steps

Evaluate

5 m - 8 = 0

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

5 m = 0 + 8

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

5 m = 8

Divide both sides

\frac{5 m}{5} = \frac{8}{5}

Divide the numbers

m = \frac{8}{5}

m = \frac{8}{5} 5 m - 7 = 0

Solve the equation

More Steps

Evaluate

5 m - 7 = 0

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

5 m = 0 + 7

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

5 m = 7

Divide both sides

\frac{5 m}{5} = \frac{7}{5}

Divide the numbers

m = \frac{7}{5}

m = \frac{8}{5} m = \frac{7}{5}

Solution

m_{1} = \frac{7}{5}, m_{2} = \frac{8}{5}

Alternative Form

m_{1} = 1.4, m_{2} = 1.6

Show Solution