3x^2+2px+q=0

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Solution for 3x^2+2px+q=0 equation:


Simplifying
3x2 + 2px + q = 0

Reorder the terms:
2px + q + 3x2 = 0

Solving
2px + q + 3x2 = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-1q' to each side of the equation.
2px + q + -1q + 3x2 = 0 + -1q

Combine like terms: q + -1q = 0
2px + 0 + 3x2 = 0 + -1q
2px + 3x2 = 0 + -1q
Remove the zero:
2px + 3x2 = -1q

Add '-3x2' to each side of the equation.
2px + 3x2 + -3x2 = -1q + -3x2

Combine like terms: 3x2 + -3x2 = 0
2px + 0 = -1q + -3x2
2px = -1q + -3x2

Divide each side by '2x'.
p = -0.5qx-1 + -1.5x

Simplifying
p = -0.5qx-1 + -1.5x

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