Explanation:
This is a product of two expressions that is equal to zero. Note that any xxx value that makes either (x-1)(x−1)left parenthesis, x, minus, 1, right parenthesis or (x+3)(x+3)left parenthesis, x, plus, 3, right parenthesis zero, will make their product zero.
begin{aligned} (x-1)&(x+3)=0
swarrow quad&quadsearrow x-1=0quad&quad x+3=0 x=1quad&quad x=-3 end{aligned}
(x−1)
↙
x−1=0
x=1
(x+3)=0
↘
x+3=0
x=−3
Substituting either x=1x=1x, equals, 1 or x=-3x=−3x, equals, minus, 3 into the equation will result in the true statement 0=0, equals, 0, so they are both solutions to the equation.
