What are the solutions to the equation 2x(x-5)=-3x-3 ?

The solutions to the equation 2x(x-5)=-3x-3 are x=3,x= 1/2

Find the zeros of 2x(x-5)=-3x-3

The zeros of 2x(x-5)=-3x-3 are x=3,x= 1/2

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2 x (x - 5) = - 3 x - 3

x = 3, x = \frac{1}{2}

Solution steps

2 x (x - 5) = - 3 x - 3

Expand

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

2 x^{2} - 10 x = - 3 x - 3

Move

3

to the left side

2 x^{2} - 10 x + 3 = - 3 x

Move

3 x

to the left side

2 x^{2} - 7 x + 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 2 \cdot 3}{2 \cdot 2}

(- 7)^{2} - 4 \cdot 2 \cdot 3 = 5

x_{1, 2} = \frac{- ( - 7 ) \pm 5}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 7 ) + 5}{2 \cdot 2}, x_{2} = \frac{- ( - 7 ) - 5}{2 \cdot 2}

x = \frac{- ( - 7 ) + 5}{2 \cdot 2} : 3

x = \frac{- ( - 7 ) - 5}{2 \cdot 2} : \frac{1}{2}

The solutions to the quadratic equation are:

x = 3, x = \frac{1}{2}

(x - 6) (x + 2) + x^{2} + 4 = (x - 4) (x - 1)

x^{2} - 8 x + 12 = 0

x^{2} - 13 x = 30

x^{2} - 6 (x - 1) = 7 (1 - x)

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

What are the solutions to the equation 2x(x-5)=-3x-3 ?
The solutions to the equation 2x(x-5)=-3x-3 are x=3,x= 1/2
Find the zeros of 2x(x-5)=-3x-3
The zeros of 2x(x-5)=-3x-3 are x=3,x= 1/2