To solve the equation w 2 + 7 w + 10 = 0 , we factored it into ( w + 2 ) ( w + 5 ) = 0 . This gives us the solutions w = − 2 and w = − 5 . These solutions can be verified by substituting them back into the original equation.
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Factor the expression . We look for two numbers that multiplied give 10, and added give 7. We see 5 and 2 works so:
( w + 5 ) ( w + 2 ) = 0
So the solutions are:
w = − 5 w = − 2