Solve w(4w+6)+2w=2(2w^2+7w-3)

Question

Solve the equation

$Solve for w$

w = 1

Evaluate

w (4 w + 6) + 2 w = 2 (2 w^{2} + 7 w - 3)

Calculate

More Steps

Evaluate

w (4 w + 6) + 2 w

Expand the expression

More Steps

Calculate

w (4 w + 6)

Apply the distributive property

w \times 4 w + w \times 6

Multiply the terms

4 w^{2} + w \times 6

Use the commutative property to reorder the terms

4 w^{2} + 6 w

4 w^{2} + 6 w + 2 w

Add the terms

More Steps

Evaluate

6 w + 2 w

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

(6 + 2) w

Add the numbers

8 w

4 w^{2} + 8 w

4 w^{2} + 8 w = 2 (2 w^{2} + 7 w - 3)

Calculate

More Steps

Evaluate

2 (2 w^{2} + 7 w - 3)

Apply the distributive property

2 \times 2 w^{2} + 2 \times 7 w - 2 \times 3

Multiply the numbers

4 w^{2} + 2 \times 7 w - 2 \times 3

Multiply the numbers

4 w^{2} + 14 w - 2 \times 3

Multiply the numbers

4 w^{2} + 14 w - 6

4 w^{2} + 8 w = 4 w^{2} + 14 w - 6

Move the expression to the left side

4 w^{2} + 8 w - (4 w^{2} + 14 w - 6) = 0

Calculate the sum or difference

More Steps

Add the terms

4 w^{2} + 8 w - (4 w^{2} + 14 w - 6)

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

4 w^{2} + 8 w - 4 w^{2} - 14 w + 6

The sum of two opposites equals 0

More Steps

Evaluate

4 w^{2} - 4 w^{2}

Collect like terms

(4 - 4) w^{2}

Add the coefficients

0 \times w^{2}

Calculate

0

0 + 8 w - 14 w + 6

Remove 0

8 w - 14 w + 6

Subtract the terms

More Steps

Evaluate

8 w - 14 w

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

(8 - 14) w

Subtract the numbers

- 6 w

- 6 w + 6

- 6 w + 6 = 0

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

- 6 w = 0 - 6

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

- 6 w = - 6

Change the signs on both sides of the equation

6 w = 6

Divide both sides

\frac{6 w}{6} = \frac{6}{6}

Divide the numbers

w = \frac{6}{6}

Solution

More Steps

Evaluate

\frac{6}{6}

Reduce the numbers

\frac{1}{1}

Calculate

1

w = 1

Show Solution

W(4w+6)+2w=2(2w^2+7w 3)

Solve the equation

$Solve for w$

Graph