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

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

Find the zeros of X(X+3)=5X+3

The zeros of 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

x, x y + x^{2} = 1607

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

2 x^{2} + 10 x - 15 = 0

- 2 x^{2} + 12 x - 13 = 0

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

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