4x^2+px-9=0

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Solution for 4x^2+px-9=0 equation:


Simplifying
4x2 + px + -9 = 0

Reorder the terms:
-9 + px + 4x2 = 0

Solving
-9 + px + 4x2 = 0

Solving for variable 'p'.

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

Add '9' to each side of the equation.
-9 + px + 9 + 4x2 = 0 + 9

Reorder the terms:
-9 + 9 + px + 4x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + px + 4x2 = 0 + 9
px + 4x2 = 0 + 9

Combine like terms: 0 + 9 = 9
px + 4x2 = 9

Add '-4x2' to each side of the equation.
px + 4x2 + -4x2 = 9 + -4x2

Combine like terms: 4x2 + -4x2 = 0
px + 0 = 9 + -4x2
px = 9 + -4x2

Divide each side by 'x'.
p = 9x-1 + -4x

Simplifying
p = 9x-1 + -4x

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