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2x^(2)+4x=0

2x2+4x=0 2 x^{2}+4 x=0

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Full solution

Q. 2x2+4x=0 2 x^{2}+4 x=0
  1. Factor out common term: Step 11: Factor out the common term.\newlineGiven equation: 2x2+4x=02x^2 + 4x = 0\newlineFactor out 2x2x: 2x(x+2)=02x(x + 2) = 0
  2. Apply zero product property: Step 22: Apply the zero product property.\newlineIf 2x(x+2)=02x(x + 2) = 0, then either:\newline2x=02x = 0 or x+2=0x + 2 = 0
  3. Solve each equation: Step 33: Solve each equation.\newlineFrom 2x=02x = 0, divide both sides by 22: x=0x = 0\newlineFrom x+2=0x + 2 = 0, subtract 22 from both sides: x=−2x = -2

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