What are the solutions to the equation factor x^2-3x+6=2x+6 ?

The solutions to the equation factor x^2-3x+6=2x+6 are x=0,x=5

Find the zeros of factor x^2-3x+6=2x+6

The zeros of factor x^2-3x+6=2x+6 are x=0,x=5

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

x = 0, x = 5

Solution steps

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

Move

6

to the right side

x^{2} - 3 x = 2 x

Move

2 x

to the left side

x^{2} - 5 x = 0

Factor

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

x (x - 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x - 5 = 0

Solve

x - 5 = 0 : x = 5

The solutions to the quadratic equation are:

x = 0, x = 5

x^{2} = \frac{2 x + 7}{3}

7 x^{2} - 8 = - 49 x - 8

6 x^{2} = 98 - 7 x

x^{2} + 5 x + 7

- 2 x^{2} - 4 x + 8 = 0

What are the solutions to the equation factor x^2-3x+6=2x+6 ?
The solutions to the equation factor x^2-3x+6=2x+6 are x=0,x=5
Find the zeros of factor x^2-3x+6=2x+6
The zeros of factor x^2-3x+6=2x+6 are x=0,x=5