Answer:
x = 7 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
x (x - 5) = 14
Expand out terms of the left hand side:
x^2 - 5 x = 14
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 81/4
Write the left hand side as a square:
(x - 5/2)^2 = 81/4
Take the square root of both sides:
x - 5/2 = 9/2 or x - 5/2 = -9/2
Add 5/2 to both sides:
x = 7 or x - 5/2 = -9/2
Add 5/2 to both sides:
Answer: x = 7 or x = -2
