Solve.

10x^2+5x=-5

2 answers

Is this a great start: 10x^2+5x=-5
+5 +5
10x^2+5x+5=0
10(x+5)(x+1)=0
10=0 x=5 x=-1
we are still ok with
10x^2+5x+5=0
now divide each term by 5
2x^2 + x + 1 = 0
doesn't factor, so we have to use the formula
x = (-1 ± √(1 - 4(2)(1)) )/4
= (-1 ± √-7)/4
= (-1 ± √7 i)/4 , a pair of complex numbers
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