Question

Solve 2x2 = −10x.

Answer 1

bring it all into one side
\[2x^2 + 10x = 0\]
factor out
\[x(2x + 10) = 0\]
set each factor to zero
\[x = 0 \; ;\; 2x + 10 = 0\]
solve for x

2x + 10 = 0
2x = -10
x = -10/2
x = -5

therefore x = 0; x = -5

Answer 2

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