Answer:
x=−5
Step-by-step explanation:
Subtract 2525 from both sides of the equation.
x2+10x=−25x2+10x=-25
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bb.
(b2)2=(5)2(b2)2=(5)2
Add the term to each side of the equation.
x2+10x+(5)2=−25+(5)2x2+10x+(5)2=-25+(5)2
Simplify the equation.
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Raise 55 to the power of 22.
x2+10x+25=−25+(5)2x2+10x+25=-25+(5)2
Simplify −25+(5)2-25+(5)2.
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x2+10x+25=0x2+10x+25=0
Factor the perfect trinomial square into (x+5)2(x+5)2.
(x+5)2=0(x+5)2=0
Set x+5x+5 equal to 00 and solve for xx.
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Set the factor equal to 00.
x+5=0x+5=0
Subtract 55 from both sides of the equation.
x=−5
