Solve 2(t+1)+3(4t+3)

Question

Simplify the expression

14 t + 11

Evaluate

2 (t + 1) + 3 (4 t + 3)

Expand the expression

More Steps

Calculate

2 (t + 1)

Apply the distributive property

2 t + 2 \times 1

Any expression multiplied by 1 remains the same

2 t + 2

2 t + 2 + 3 (4 t + 3)

Expand the expression

More Steps

Calculate

3 (4 t + 3)

Apply the distributive property

3 \times 4 t + 3 \times 3

Multiply the numbers

12 t + 3 \times 3

Multiply the numbers

12 t + 9

2 t + 2 + 12 t + 9

Add the terms

More Steps

Evaluate

2 t + 12 t

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

(2 + 12) t

Add the numbers

14 t

14 t + 2 + 9

Solution

14 t + 11

Show Solution

Find the roots

t = - \frac{11}{14}

Alternative Form

t = - 0.7 \dot{8} 5714 \dot{2}

Evaluate

2 (t + 1) + 3 (4 t + 3)

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

2 (t + 1) + 3 (4 t + 3) = 0

Calculate

More Steps

Evaluate

2 (t + 1) + 3 (4 t + 3)

Expand the expression

More Steps

Calculate

2 (t + 1)

Apply the distributive property

2 t + 2 \times 1

Any expression multiplied by 1 remains the same

2 t + 2

2 t + 2 + 3 (4 t + 3)

Expand the expression

More Steps

Calculate

3 (4 t + 3)

Apply the distributive property

3 \times 4 t + 3 \times 3

Multiply the numbers

12 t + 3 \times 3

Multiply the numbers

12 t + 9

2 t + 2 + 12 t + 9

Add the terms

More Steps

Evaluate

2 t + 12 t

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

(2 + 12) t

Add the numbers

14 t

14 t + 2 + 9

Add the numbers

14 t + 11

14 t + 11 = 0

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

14 t = 0 - 11

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

14 t = - 11

Divide both sides

\frac{14 t}{14} = \frac{- 11}{14}

Divide the numbers

t = \frac{- 11}{14}

Solution

t = - \frac{11}{14}

Alternative Form

t = - 0.7 \dot{8} 5714 \dot{2}

Show Solution