Solve 9(7m-10)+7(-5m-8)

Question

Simplify the expression

Solution

28 m - 146

Evaluate

9 (7 m - 10) + 7 (- 5 m - 8)

Expand the expression

More Steps

Calculate

9 (7 m - 10)

Apply the distributive property

9 \times 7 m - 9 \times 10

Multiply the numbers

63 m - 9 \times 10

Multiply the numbers

63 m - 90

63 m - 90 + 7 (- 5 m - 8)

Expand the expression

More Steps

Calculate

7 (- 5 m - 8)

Apply the distributive property

7 (- 5 m) - 7 \times 8

Multiply the numbers

More Steps

Evaluate

7 (- 5)

Multiplying or dividing an odd number of negative terms equals a negative

- 7 \times 5

Multiply the numbers

- 35

- 35 m - 7 \times 8

Multiply the numbers

- 35 m - 56

63 m - 90 - 35 m - 56

Subtract the terms

More Steps

Evaluate

63 m - 35 m

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

(63 - 35) m

Subtract the numbers

28 m

28 m - 90 - 56

Solution

28 m - 146

Show Solution

Factor the expression

Factor

2 (14 m - 73)

Evaluate

9 (7 m - 10) + 7 (- 5 m - 8)

Simplify

More Steps

Evaluate

9 (7 m - 10)

Apply the distributive property

9 \times 7 m + 9 (- 10)

Multiply the terms

63 m + 9 (- 10)

Multiply the terms

More Steps

Evaluate

9 (- 10)

Multiplying or dividing an odd number of negative terms equals a negative

- 9 \times 10

Multiply the numbers

- 90

63 m - 90

63 m - 90 + 7 (- 5 m - 8)

Simplify

More Steps

Evaluate

7 (- 5 m - 8)

Apply the distributive property

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

Multiply the terms

More Steps

Evaluate

7 (- 5)

Multiplying or dividing an odd number of negative terms equals a negative

- 7 \times 5

Multiply the numbers

- 35

- 35 m + 7 (- 8)

Multiply the terms

More Steps

Evaluate

7 (- 8)

Multiplying or dividing an odd number of negative terms equals a negative

- 7 \times 8

Multiply the numbers

- 56

- 35 m - 56

63 m - 90 - 35 m - 56

Subtract the terms

More Steps

Evaluate

63 m - 35 m

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

(63 - 35) m

Subtract the numbers

28 m

28 m - 90 - 56

Subtract the numbers

28 m - 146

Solution

2 (14 m - 73)

Show Solution

Find the roots

Find the roots of the algebra expression

m = \frac{73}{14}

Alternative Form

m = 5.2 \dot{1} 4285 \dot{7}

Evaluate

9 (7 m - 10) + 7 (- 5 m - 8)

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

9 (7 m - 10) + 7 (- 5 m - 8) = 0

Calculate

More Steps

Evaluate

9 (7 m - 10) + 7 (- 5 m - 8)

Expand the expression

More Steps

Calculate

9 (7 m - 10)

Apply the distributive property

9 \times 7 m - 9 \times 10

Multiply the numbers

63 m - 9 \times 10

Multiply the numbers

63 m - 90

63 m - 90 + 7 (- 5 m - 8)

Expand the expression

More Steps

Calculate

7 (- 5 m - 8)

Apply the distributive property

7 (- 5 m) - 7 \times 8

Multiply the numbers

- 35 m - 7 \times 8

Multiply the numbers

- 35 m - 56

63 m - 90 - 35 m - 56

Subtract the terms

More Steps

Evaluate

63 m - 35 m

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

(63 - 35) m

Subtract the numbers

28 m

28 m - 90 - 56

Subtract the numbers

28 m - 146

28 m - 146 = 0

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

28 m = 0 + 146

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

28 m = 146

Divide both sides

\frac{28 m}{28} = \frac{146}{28}

Divide the numbers

m = \frac{146}{28}

Solution

m = \frac{73}{14}

Alternative Form

m = 5.2 \dot{1} 4285 \dot{7}

Show Solution

9(7m 10)+7( 5m 8)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression