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X² + 8 = -6x
need help solving step by step

2 Answers

8 votes

Answer:

x=-2 OR x=-4

Explanation:

Step 1: Subtract -6x from both sides.

x2+8−−6x=−6x−−6x

x2+6x+8=0

Step 2: Factor left side of equation.

(x+2)(x+4)=0

Step 3: Set factors equal to 0.

x+2=0 or x+4=0

x=−2 or x=−4

Good luck! Hope this helps!

User Lgekman
by
4.9k points
8 votes

Explanation:


{x}^(2) + 8 - ( - 6x) = 0 \\ x {}^(2) + 8 + 6x= 0 \\ x { }^(2) + 6x + 8 = 0 \\ x {}^(2) + 4x + 2x + 8 = 0 \\ x(x + 4) + 2(x + 4) = 0 \\ (x + 4)(x + 2) = 0 \\ either \\ x + 4 = 0 \\ x = - 4 \\ or \\ x + 2 = 0 \\ x = - 2 \\ hence. \\ x = - 4and - 2

User CodingFoo
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5.4k points