Solve each equation using the zero-factor property. See Example 1...

Question

Solve each equation using the zero-factor property. See Example 1. x^2 + 2x - 8 = 0

Accepted Answer

Hey, everyone here, we are asked to use the zero factor rule to solve the given quadratic equation X squared plus X minus 30 is equal to zero. Now, before we can apply the zero factor rule to this given equation, we first need to factor the left hand side. So factoring we get the quantity of X plus six times the quantity of X minus five is equal to zero. So, so now we need to recall the zero factor rule which tells us that if the quantity of A times the quantity of B is equal to zero, then we know that A is equal to zero or B is equal to zero. So now we can apply this zero factor rule to our factored equation. So this means that we can set each set of parentheses individually equal to zero. So we can start with the first set of parentheses where we have X plus six. And again, according to the zero factor rule, we can set this expression equal to zero. Now solving for X, we just need to subtract six from both sides. And we see that one solution for X is negative six and now we can repeat this with the second part of our expression. So we have X minus five and again, setting this expression equal to zero, we need to solve for X. So we just need to add five to both sides. And we see that another solution for X is just five. So now summarizing, we have found two solutions for X which are negative six and five. And with these two solutions, we are left with answer choice B Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Solve each equation using the zero-factor property. See Example 1. x^2 + 2x - 8 = 0