What are the solutions to the equation 5x^2+11x=2x+2 ?

The solutions to the equation 5x^2+11x=2x+2 are x= 1/5 ,x=-2

Find the zeros of 5x^2+11x=2x+2

The zeros of 5x^2+11x=2x+2 are x= 1/5 ,x=-2

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5 x^{2} + 11 x = 2 x + 2

x = \frac{1}{5}, x = - 2

Decimal Notation

x = 0.2, x = - 2

Solution steps

5 x^{2} + 11 x = 2 x + 2

Move

2

to the left side

5 x^{2} + 11 x - 2 = 2 x

Move

2 x

to the left side

5 x^{2} + 9 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 9 \pm 9 ^{2} - 4 \cdot 5 ( - 2 )}{2 \cdot 5}

9^{2} - 4 \cdot 5 (- 2) = 11

x_{1, 2} = \frac{- 9 \pm 11}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 9 + 11}{2 \cdot 5}, x_{2} = \frac{- 9 - 11}{2 \cdot 5}

x = \frac{- 9 + 11}{2 \cdot 5} : \frac{1}{5}

x = \frac{- 9 - 11}{2 \cdot 5} : - 2

The solutions to the quadratic equation are:

x = \frac{1}{5}, x = - 2

5 x^{2} = 13 x - 6

x, a x^{2} + b x + c = y

2 k^{2} + 5 k = 12

- 5 x^{2} + 9 x = - 3

(2 x - 1)^{2} - (x + 1)^{2} = 0

What are the solutions to the equation 5x^2+11x=2x+2 ?
The solutions to the equation 5x^2+11x=2x+2 are x= 1/5 ,x=-2
Find the zeros of 5x^2+11x=2x+2
The zeros of 5x^2+11x=2x+2 are x= 1/5 ,x=-2