What are the solutions to the equation quadraticformula x(x+3)=5x+3 ?

The solutions to the equation quadraticformula x(x+3)=5x+3 are x=3,x=-1

Find the zeros of quadraticformula x(x+3)=5x+3

The zeros of quadraticformula x(x+3)=5x+3 are x=3,x=-1

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x (x + 3) = 5 x + 3

x = 3, x = - 1

Solution steps

x (x + 3) = 5 x + 3

Expand

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

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

Move

3

to the left side

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

Move

5 x

to the left side

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

Solve with the quadratic formula

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

(- 2)^{2} - 4 \cdot 1 \cdot (- 3) = 4

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

Separate the solutions

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

x = \frac{- ( - 2 ) + 4}{2 \cdot 1} : 3

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

The solutions to the quadratic equation are:

x = 3, x = - 1

m^{2} - 9 m = 0

x^{2} + 11 = 155

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

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

- 4 x^{2} - 32 x = 0

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