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Solve for x. 2x^(2)+6=-7x If there is more than one solution, separate them with commas. If there is no solution, click on "No solution." x= ◻

Solve for x x .\newline2x2+6=−7x 2 x^{2}+6=-7 x \newlineIf there is more than one solution, separate them with commas. If there is no solution, click on

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Absolute values of complex numbersright chevron icon

Full solution

Q. Solve for x x .\newline2x2+6=−7x 2 x^{2}+6=-7 x \newlineIf there is more than one solution, separate them with commas. If there is no solution, click on
  1. Factor the quadratic equation: Now, factor the quadratic equation. \(2x + 33)(x + 22) = 00\
  2. Set equal and solve: Set each factor equal to zero and solve for xx.2x+3=02x + 3 = 0 or x+2=0x + 2 = 0
  3. Solve for x: Solve the first equation for x.\newline2x=−32x = -3\newlinex=−32x = -\frac{3}{2}
  4. Solve for x: Solve the second equation for xx.x=−2x = -2

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