x^2-4x+4=25 — step-by-step solution

⚠ 4x is read as the product 4*x: for a power, write 4^x

Let's solve in

ℝ

x^{2} - 4 x + 4 = 25

x^{2}

- 4 x

+ 4

- 25 = 0

x^{2} - 4 x - 21 = 0

You can transform this expression into:

{(x - 2)}^{2} - 25

{(x - 2)}^{2} - 25 = 0

You can write the expression in factored form:

((x - 2) - 5) \cdot ((x - 2) + 5)

Let's solve in

ℝ

((x - 2) - 5) \cdot ((x - 2) + 5) = 0

ℹ

- 2 - 5

-7

‖

- 2 + 5

3

(x - 7) \cdot (x + 3)

Let's solve in

ℝ

x - 7 = 0

Solution found:

x = 7

Let's solve in

ℝ

x + 3 = 0

Solution obtained:

x = -3

▶Solution:

x = {-3, 7}