What are the solutions to the equation x(x+3)-5(2x-4)=2x ?

The solutions to the equation x(x+3)-5(2x-4)=2x are x=5,x=4

Find the zeros of x(x+3)-5(2x-4)=2x

The zeros of x(x+3)-5(2x-4)=2x are x=5,x=4

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x (x + 3) - 5 (2 x - 4) = 2 x

x = 5, x = 4

Solution steps

x (x + 3) - 5 (2 x - 4) = 2 x

Expand

x (x + 3) - 5 (2 x - 4) : x^{2} - 7 x + 20

x^{2} - 7 x + 20 = 2 x

Move

2 x

to the left side

x^{2} - 9 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

(- 9)^{2} - 4 \cdot 1 \cdot 20 = 1

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

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 1}{2 \cdot 1}, x_{2} = \frac{- ( - 9 ) - 1}{2 \cdot 1}

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

x = \frac{- ( - 9 ) - 1}{2 \cdot 1} : 4

The solutions to the quadratic equation are:

x = 5, x = 4

- 3 x^{2} + 6 x - 24 = 0

100 x^{2} = 25

a^{2} + 2 a - 2 = 0

- \frac{1}{4} x^{2} + 4 x - 6 = 0

5 x^{2} - 15 x - 10 = 20

What are the solutions to the equation x(x+3)-5(2x-4)=2x ?
The solutions to the equation x(x+3)-5(2x-4)=2x are x=5,x=4
Find the zeros of x(x+3)-5(2x-4)=2x
The zeros of x(x+3)-5(2x-4)=2x are x=5,x=4