(pi+4)x^2+14x-80=0

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Solution for (pi+4)x^2+14x-80=0 equation:


Simplifying
(pi + 4) * x2 + 14x + -80 = 0

Reorder the terms:
(4 + ip) * x2 + 14x + -80 = 0

Reorder the terms for easier multiplication:
x2(4 + ip) + 14x + -80 = 0
(4 * x2 + ip * x2) + 14x + -80 = 0

Reorder the terms:
(ipx2 + 4x2) + 14x + -80 = 0
(ipx2 + 4x2) + 14x + -80 = 0

Reorder the terms:
-80 + ipx2 + 14x + 4x2 = 0

Solving
-80 + ipx2 + 14x + 4x2 = 0

Solving for variable 'i'.

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

Add '80' to each side of the equation.
-80 + ipx2 + 14x + 80 + 4x2 = 0 + 80

Reorder the terms:
-80 + 80 + ipx2 + 14x + 4x2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + ipx2 + 14x + 4x2 = 0 + 80
ipx2 + 14x + 4x2 = 0 + 80

Combine like terms: 0 + 80 = 80
ipx2 + 14x + 4x2 = 80

Add '-14x' to each side of the equation.
ipx2 + 14x + -14x + 4x2 = 80 + -14x

Combine like terms: 14x + -14x = 0
ipx2 + 0 + 4x2 = 80 + -14x
ipx2 + 4x2 = 80 + -14x

Add '-4x2' to each side of the equation.
ipx2 + 4x2 + -4x2 = 80 + -14x + -4x2

Combine like terms: 4x2 + -4x2 = 0
ipx2 + 0 = 80 + -14x + -4x2
ipx2 = 80 + -14x + -4x2

Divide each side by 'px2'.
i = 80p-1x-2 + -14p-1x-1 + -4p-1

Simplifying
i = 80p-1x-2 + -14p-1x-1 + -4p-1

Reorder the terms:
i = -4p-1 + 80p-1x-2 + -14p-1x-1

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