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

The solutions to the equation x(x+5)+x(x-2)=5x+4 are x=2,x=-1

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

The zeros of x(x+5)+x(x-2)=5x+4 are x=2,x=-1

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

x = 2, x = - 1

Solution steps

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

Expand

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

2 x^{2} + 3 x = 5 x + 4

Move

4

to the left side

2 x^{2} + 3 x - 4 = 5 x

Move

5 x

to the left side

2 x^{2} - 2 x - 4 = 0

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 2 (- 4) = 6

x_{1, 2} = \frac{- ( - 2 ) \pm 6}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 6}{2 \cdot 2}, x_{2} = \frac{- ( - 2 ) - 6}{2 \cdot 2}

x = \frac{- ( - 2 ) + 6}{2 \cdot 2} : 2

x = \frac{- ( - 2 ) - 6}{2 \cdot 2} : - 1

The solutions to the quadratic equation are:

x = 2, x = - 1

3 x^{2} = x + 2

x^{2} + 8 x + 36 = - 8 x

9.81 x^{2} - 10 x - 88.2 = 0

x, y = 2 x^{2} + 3 x - 1

x^{2} + 2 x - 63 = 0

What are the solutions to the equation x(x+5)+x(x-2)=5x+4 ?
The solutions to the equation x(x+5)+x(x-2)=5x+4 are x=2,x=-1
Find the zeros of x(x+5)+x(x-2)=5x+4
The zeros of x(x+5)+x(x-2)=5x+4 are x=2,x=-1