Solve the equation for x and simplify the answer if possible.Indicate which solving technique is used,Linear,Factor,SRP,QF 5x^2+12x-20=-3x

OlmekinjP 2021-02-24 Answered
Solve the equation for x and simplify the answer if possible.Indicate which solving technique is used,Linear,Factor,SRP,QF
\(\displaystyle{5}{x}^{{2}}+{12}{x}-{20}=-{3}{x}\)

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Expert Answer

izboknil3
Answered 2021-02-25 Author has 6427 answers

\(\displaystyle{5}{x}^{{2}}+{12}{x}-{20}=-{3}{x}\)
Calculation
\(\displaystyle{5}{x}^{{2}}+{12}{x}-{20}=-{3}{x}\)
\(\displaystyle{5}{x}^{{2}}+{15}{x}-{20}={0}\)
\(\displaystyle{x}^{{2}}+{3}{x}-{4}={0}\)
\(\displaystyle{x}^{{2}}+{4}{x}-{x}-{4}={0}\)
\(\displaystyle{x}{\left({x}+{4}\right)}-{1}{\left({x}+{4}\right)}={0}\)
\(\displaystyle{\left({x}+{4}\right)}{\left({x}-{1}\right)}={0}\)
\(x=-4\ \&\ x=1\)

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