What is the answer to (x+2)(x-3)=(x-3)^2 ?

The answer to (x+2)(x-3)=(x-3)^2 is x=3

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(x+2)(x-3)=(x-3)^2

(x + 2) (x - 3) = (x - 3)^{2}

x = 3

Solution steps

(x + 2) (x - 3) = (x - 3)^{2}

Expand

(x + 2) (x - 3) : x^{2} - x - 6

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

x^{2} - x - 6 = x^{2} - 6 x + 9

Move

6

to the right side

x^{2} - x = x^{2} - 6 x + 15

Subtract

x^{2} - 6 x

from both sides

x^{2} - x - (x^{2} - 6 x) = x^{2} - 6 x + 15 - (x^{2} - 6 x)

Simplify

5 x = 15

Divide both sides by

5

x = 3

- 2 (x - 4) = 7 (x - 4)

2 x - 3 x - 3 = x - 2 x - 1

(8 x - 14) + (4 x + 1) = 59

\frac{4 x}{5} = 6

6 (x - 2) = 2 (5 x - 2)

What is the answer to (x+2)(x-3)=(x-3)^2 ?
The answer to (x+2)(x-3)=(x-3)^2 is x=3
Solve for x: (x+2)(x-3)=(x-3)^2
The solution is x=3