x^2 makes the graph looks like a U
if it where just x the graph would look like a straight line or /
"factor" means the graph goes thru the x axis at -5 & -2 when y is 0
"factor" means the graph goes thru the x axis at (-5,0) & (-2,0)
Answer:
x = -5
x = -2
Explanation:
combine like terms:
(x+3)^2 + (x+3) - 2 = 0
x^2 + 6x + 9 + x + 3 - 2 = 0
x^2 + 7x + 10 = 0
We can now factor the quadratic expression by finding two numbers that multiply to give us `10` and add up to give us `7`. These numbers are `2` and `5`. Therefore, we can write:
x^2 + 7x + 10 = (x+2)(x+5)
Thus, the factored form of the given equation is:
(x+2)(x+5) = 0
Therefore, the solutions to the equation are:
x = -2 or x = -5
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