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

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

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

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

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x (x + 3) = 5 x + 3

x = - 1, x = 3

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

Factor

x^{2} - 2 x - 3 : (x + 1) (x - 3)

(x + 1) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 1 = 0 or x - 3 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 3 = 0 : x = 3

The solutions to the quadratic equation are:

x = - 1, x = 3

- 2 x^{2} + 10 x = 12

15 n^{2} + 41 n - 18 = 2 n

2 x^{2} + 9 x - 1 = 2 x - 7

3 x^{2} = 34 x

(3 x - 4) (4 x - 3) = (6 x - 4) + (2 x + 5)

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