Subtract 8 from both sides of the equation.
[tex] \large{ \tt{x²+2× - 8 = 0}}[/tex]
Use the quadratic formula to find the solutions.
[tex] \large{ \tt{ - b ± \sqrt{b2 - 4(ac)}}} \\ { \: \: \: \: \: \: \: \: 2 a \: \: \: }[/tex]
Substitute the values a = 1, b = 2, and c = − 8
into the quadratic formula and solve for x.
[tex] \large{ \tt{ -2± \sqrt{2² - 4•(1• - 8)}}} \\ { \: \: \: \: \: \: \: \: \: 2 \: • \: 1 \: \: \: \: \: }[/tex]
Simplify
The final answer is the combination of both solutions.
[tex] \large{ \boxed{\: \tt{x=2,-4}}}[/tex]
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