Question 793968


{{{(2x+7)^2=25}}} Start with the given equation.



{{{2x+7=""+-sqrt(25)}}} Take the square root of both sides.



{{{2x+7=sqrt(25)}}} or {{{2x+7=-sqrt(25)}}} Break up the "plus/minus" to form two equations.



{{{2x+7=5}}} or {{{2x+7=-5}}}  Take the square root of {{{25}}} to get {{{5}}}.



{{{2x=-7+5}}} or {{{2x=-7-5}}} Subtract {{{7}}} from both sides.



{{{2x=-2}}} or {{{2x=-12}}} Combine like terms.



{{{x=-1}}} or {{{x=-6}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



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Answer:



So the solutions are {{{x=-1}}} or {{{x=-6}}}.