(x - 3)(x - 5) = 35
Simplify the left side.
x² - 5x - 3x + 15 = 35
Add your like terms.
x² + (-5x - 3x) + 15 = 35
Simplify.
x² - 8x + 15= 35
Simplify.
x² - 8x + 15 = 35
Subtract 35 from both sides of the equation.
x² - 8x + 15 - 35 = 35 - 35
Simplify.
x² - 8x - 20 = 0
Then, you simply factor out the left side of our equation.
(x + 2)(x - 10) = 0
Set it so that each factor equals zero. This basically just means that you take each equation inside the parenthesis and you make them equal zero.
x + 2 = 0 AND x - 10 = 0
x + 2 = 0
Subtract 2 from both sides.
x = -2
x - 10 = 0
Add 10 to both sides.
x = 10
So, x = -2 AND x = 10
So, you got your answer wrong.
~Hope I helped!~