What are the solutions to the equation x^2+6x=x+50 ?

The solutions to the equation x^2+6x=x+50 are x=5,x=-10

Find the zeros of x^2+6x=x+50

The zeros of x^2+6x=x+50 are x=5,x=-10

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x^{2} + 6 x = x + 50

x = 5, x = - 10

Solution steps

x^{2} + 6 x = x + 50

Move

50

to the left side

x^{2} + 6 x - 50 = x

Move

x

to the left side

x^{2} + 5 x - 50 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot ( - 50 )}{2 \cdot 1}

5^{2} - 4 \cdot 1 \cdot (- 50) = 15

x_{1, 2} = \frac{- 5 \pm 15}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 5 + 15}{2 \cdot 1}, x_{2} = \frac{- 5 - 15}{2 \cdot 1}

x = \frac{- 5 + 15}{2 \cdot 1} : 5

x = \frac{- 5 - 15}{2 \cdot 1} : - 10

The solutions to the quadratic equation are:

x = 5, x = - 10

9 \cdot 20

0 \leq 4 x - 1 \leq 2

21 z^{2} + 41 z + 18

2 (3 t - 8) - 4 t = 10

- \frac{1}{3} - 2

What are the solutions to the equation x^2+6x=x+50 ?
The solutions to the equation x^2+6x=x+50 are x=5,x=-10
Find the zeros of x^2+6x=x+50
The zeros of x^2+6x=x+50 are x=5,x=-10