What are the solutions to the equation (2w+3)w=77 ?

The solutions to the equation (2w+3)w=77 are w= 11/2 ,w=-7

Find the zeros of (2w+3)w=77

The zeros of (2w+3)w=77 are w= 11/2 ,w=-7

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(2 w + 3) w = 77

w = \frac{11}{2}, w = - 7

Decimal Notation

w = 5.5, w = - 7

Solution steps

(2 w + 3) w = 77

Expand

(2 w + 3) w : 2 w^{2} + 3 w

2 w^{2} + 3 w = 77

Move

77

to the left side

2 w^{2} + 3 w - 77 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 2 ( - 77 )}{2 \cdot 2}

3^{2} - 4 \cdot 2 (- 77) = 25

w_{1, 2} = \frac{- 3 \pm 25}{2 \cdot 2}

Separate the solutions

w_{1} = \frac{- 3 + 25}{2 \cdot 2}, w_{2} = \frac{- 3 - 25}{2 \cdot 2}

w = \frac{- 3 + 25}{2 \cdot 2} : \frac{11}{2}

w = \frac{- 3 - 25}{2 \cdot 2} : - 7

The solutions to the quadratic equation are:

w = \frac{11}{2}, w = - 7

x (x + 11) = 2 (x + 5)

3 x^{2} + 33 x + 84 = 0

x^{2} - 56 = 25

3 x^{2} + 2 x = 18 x + 12

3 x = - x^{2} + 7

What are the solutions to the equation (2w+3)w=77 ?
The solutions to the equation (2w+3)w=77 are w= 11/2 ,w=-7
Find the zeros of (2w+3)w=77
The zeros of (2w+3)w=77 are w= 11/2 ,w=-7