What are the solutions to the equation 4x(x+8)=15 ?

The solutions to the equation 4x(x+8)=15 are x=(-8+sqrt(79))/2 ,x=-(8+sqrt(79))/2

Find the zeros of 4x(x+8)=15

The zeros of 4x(x+8)=15 are x=(-8+sqrt(79))/2 ,x=-(8+sqrt(79))/2

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4 x (x + 8) = 15

x = \frac{- 8 + 79}{2}, x = - \frac{8 + 79}{2}

Decimal Notation

x = 0.44409 \dots, x = - 8.44409 \dots

Solution steps

4 x (x + 8) = 15

Expand

4 x (x + 8) : 4 x^{2} + 32 x

4 x^{2} + 32 x = 15

Move

15

to the left side

4 x^{2} + 32 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 32 \pm 3 2 ^{2} - 4 \cdot 4 ( - 15 )}{2 \cdot 4}

3 2^{2} - 4 \cdot 4 (- 15) = 479

x_{1, 2} = \frac{- 32 \pm 4 79}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- 32 + 4 79}{2 \cdot 4}, x_{2} = \frac{- 32 - 4 79}{2 \cdot 4}

x = \frac{- 32 + 4 79}{2 \cdot 4} : \frac{- 8 + 79}{2}

x = \frac{- 32 - 4 79}{2 \cdot 4} : - \frac{8 + 79}{2}

The solutions to the quadratic equation are:

x = \frac{- 8 + 79}{2}, x = - \frac{8 + 79}{2}

x^{2} + (53)^{2} = (2 x)^{2}

2 x^{2} + 36 = - 18 x

(x - 4)^{2} - 169 = 0

18 + 2 x^{2} = 2 (9 \cdot 5)

(3 x + 7)^{2} = 36

What are the solutions to the equation 4x(x+8)=15 ?
The solutions to the equation 4x(x+8)=15 are x=(-8+sqrt(79))/2 ,x=-(8+sqrt(79))/2
Find the zeros of 4x(x+8)=15
The zeros of 4x(x+8)=15 are x=(-8+sqrt(79))/2 ,x=-(8+sqrt(79))/2