x^2+12x-64=0 — step-by-step solution

⚠ 12x is read as the product 12*x: for a power, write 12^x

Let's solve in

ℝ

x^{2} + 12 x - 64 = 0

You can transform this expression into:

{(x + 6)}^{2} - 100

{(x + 6)}^{2} - 100 = 0

You can write the expression in factored form:

((x + 6) - 10) \cdot ((x + 6) + 10)

Let's solve in

ℝ

((x + 6) - 10) \cdot ((x + 6) + 10) = 0

ℹ

6 - 10

-4

‖

6 + 10

16

(x - 4) \cdot (x + 16)

Let's solve in

ℝ

x - 4 = 0

Solution obtained:

x = 4

Let's solve in

ℝ

x + 16 = 0

Solution obtained:

x = -16

▶Solution:

x = {-16, 4}