Solve 6(5r + 5) - 2(2r + 3) - Socratic AI (ScanMath)

问题

Simplify the expression

26 r + 24

Evaluate

6 (5 r + 5) - 2 (2 r + 3)

Expand the expression

更多步骤

Calculate

6 (5 r + 5)

Apply the distributive property

6 \times 5 r + 6 \times 5

Multiply the numbers

30 r + 6 \times 5

Multiply the numbers

30 r + 30

30 r + 30 - 2 (2 r + 3)

Expand the expression

更多步骤

Calculate

- 2 (2 r + 3)

Apply the distributive property

- 2 \times 2 r - 2 \times 3

Multiply the numbers

- 4 r - 2 \times 3

Multiply the numbers

- 4 r - 6

30 r + 30 - 4 r - 6

Subtract the terms

更多步骤

Evaluate

30 r - 4 r

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

(30 - 4) r

Subtract the numbers

26 r

26 r + 30 - 6

解题方案

26 r + 24

显示解题方案

Factor the expression

2 (13 r + 12)

Evaluate

6 (5 r + 5) - 2 (2 r + 3)

Simplify

更多步骤

Evaluate

6 (5 r + 5)

Apply the distributive property

6 \times 5 r + 6 \times 5

Multiply the terms

30 r + 6 \times 5

Multiply the terms

30 r + 30

30 r + 30 - 2 (2 r + 3)

Simplify

更多步骤

Evaluate

- 2 (2 r + 3)

Apply the distributive property

- 2 \times 2 r - 2 \times 3

Multiply the terms

- 4 r - 2 \times 3

Multiply the terms

- 4 r - 6

30 r + 30 - 4 r - 6

Subtract the terms

更多步骤

Evaluate

30 r - 4 r

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

(30 - 4) r

Subtract the numbers

26 r

26 r + 30 - 6

Subtract the numbers

26 r + 24

解题方案

2 (13 r + 12)

显示解题方案

Find the roots

r = - \frac{12}{13}

Alternative Form

r = - 0. \dot{9} 2307 \dot{6}

Evaluate

6 (5 r + 5) - 2 (2 r + 3)

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

6 (5 r + 5) - 2 (2 r + 3) = 0

Calculate

更多步骤

Evaluate

6 (5 r + 5) - 2 (2 r + 3)

Expand the expression

更多步骤

Calculate

6 (5 r + 5)

Apply the distributive property

6 \times 5 r + 6 \times 5

Multiply the numbers

30 r + 6 \times 5

Multiply the numbers

30 r + 30

30 r + 30 - 2 (2 r + 3)

Expand the expression

更多步骤

Calculate

- 2 (2 r + 3)

Apply the distributive property

- 2 \times 2 r - 2 \times 3

Multiply the numbers

- 4 r - 2 \times 3

Multiply the numbers

- 4 r - 6

30 r + 30 - 4 r - 6

Subtract the terms

更多步骤

Evaluate

30 r - 4 r

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

(30 - 4) r

Subtract the numbers

26 r

26 r + 30 - 6

Subtract the numbers

26 r + 24

26 r + 24 = 0

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

26 r = 0 - 24

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

26 r = - 24

Divide both sides

\frac{26 r}{26} = \frac{- 24}{26}

Divide the numbers

r = \frac{- 24}{26}

解题方案

更多步骤

Evaluate

\frac{- 24}{26}

Cancel out the common factor 2

\frac{- 12}{13}

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

- \frac{12}{13}

r = - \frac{12}{13}

Alternative Form

r = - 0. \dot{9} 2307 \dot{6}

显示解题方案

6(5r + 5) 2(2r + 3)

Simplify the expression

Factor the expression

Find the roots