Answer:
y = -5, 1
Step-by-step explanation:
2y² - 10y + 44 = (y - 7)²
expand (y - 7)²
(y - 7)² = y² - 14y + 49
move it to the left
(2y² - 10y + 44) - (y² - 14y + 49) = 0
distribute the (-)
2y² - 10 y + 44 - y² + 14y - 49 = 0
combine like terms
y² - 4y -5
factor with factoring X
y² + 5y - y - 5 = 0
factor by grouping ↓
factor out a y from first half of equation
y(y + 5) - y - 5 = 0
factor out a (-) from second half of equation
y(y +5) - (y + 5) = 0
(y +5)(y - 1) = 0
y = -5, 1
