What are the solutions to the equation x^2+5x-2=3x-2 ?

The solutions to the equation x^2+5x-2=3x-2 are x=0,x=-2

Find the zeros of x^2+5x-2=3x-2

The zeros of x^2+5x-2=3x-2 are x=0,x=-2

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

x = 0, x = - 2

Solution steps

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

Move

2

to the left side

x^{2} + 5 x = 3 x

Move

3 x

to the left side

x^{2} + 2 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

2^{2} - 4 \cdot 1 \cdot 0 = 2

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

Separate the solutions

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

x = \frac{- 2 + 2}{2 \cdot 1} : 0

x = \frac{- 2 - 2}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 0, x = - 2

y, 9 x^{2} + 2 x y = 3 y^{2} + x^{2}

2 x^{2} - 465 x - 3600 = 0

(x - 7)^{2} = 60

5 x^{2} - 4 x + 4 = 5

2 x^{2} - 16 x - 3 = 25

What are the solutions to the equation x^2+5x-2=3x-2 ?
The solutions to the equation x^2+5x-2=3x-2 are x=0,x=-2
Find the zeros of x^2+5x-2=3x-2
The zeros of x^2+5x-2=3x-2 are x=0,x=-2