What are the solutions to the equation 2x(5x+5)=88 ?

The solutions to the equation 2x(5x+5)=88 are x=(-5+sqrt(905))/(10),x=-(5+sqrt(905))/(10)

Find the zeros of 2x(5x+5)=88

The zeros of 2x(5x+5)=88 are x=(-5+sqrt(905))/(10),x=-(5+sqrt(905))/(10)

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2 x (5 x + 5) = 88

x = \frac{- 5 + 905}{10}, x = - \frac{5 + 905}{10}

Decimal Notation

x = 2.50832 \dots, x = - 3.50832 \dots

Solution steps

2 x (5 x + 5) = 88

Expand

2 x (5 x + 5) : 10 x^{2} + 10 x

10 x^{2} + 10 x = 88

Move

88

to the left side

10 x^{2} + 10 x - 88 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 10 ( - 88 )}{2 \cdot 10}

1 0^{2} - 4 \cdot 10 (- 88) = 2905

x_{1, 2} = \frac{- 10 \pm 2 905}{2 \cdot 10}

Separate the solutions

x_{1} = \frac{- 10 + 2 905}{2 \cdot 10}, x_{2} = \frac{- 10 - 2 905}{2 \cdot 10}

x = \frac{- 10 + 2 905}{2 \cdot 10} : \frac{- 5 + 905}{10}

x = \frac{- 10 - 2 905}{2 \cdot 10} : - \frac{5 + 905}{10}

The solutions to the quadratic equation are:

x = \frac{- 5 + 905}{10}, x = - \frac{5 + 905}{10}

a^{2} + 7 = 43

4 a^{2} - a - 8 = 0

5 x^{2} + 17 x + 4 = 0

- 2 x^{2} + 7 x + 1 = 0

3 x^{2} = x^{2} + 6

What are the solutions to the equation 2x(5x+5)=88 ?
The solutions to the equation 2x(5x+5)=88 are x=(-5+sqrt(905))/(10),x=-(5+sqrt(905))/(10)
Find the zeros of 2x(5x+5)=88
The zeros of 2x(5x+5)=88 are x=(-5+sqrt(905))/(10),x=-(5+sqrt(905))/(10)