How do you solve the equation 2x^2+6=-7x by factoring?

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(2) Answers

Solorio503

[latex]2 x^{2} +7x+6=0 [/latex]
we can write it as [latex]2 x^{2} +3x+4x+6=0[/latex]
therfore , [latex]x(2x+3)+2(2x+3)=0[/latex]
so [latex]x=- 3/2 [/latex] and [latex]x=-2[/latex]

Bowline347

Hi again!
2x² + 6 = -7x
2x² + 6 + 7x = 0
Factorize
(2x+3)(x+2)=0
Set factors equal to 0
2x + 3 = 0 or x + 2 = 0
2x = 0 - 3 or x = 0 - 2
2x = -3 or x = -2
x= -3/2 or x = -2