(2X-7)(X-3)(X+3)(2X+5)-91=0

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Solution for (2X-7)(X-3)(X+3)(2X+5)-91=0 equation: 


Simplifying
(2X + -7)(X + -3)(X + 3)(2X + 5) + -91 = 0

Reorder the terms:
(-7 + 2X)(X + -3)(X + 3)(2X + 5) + -91 = 0

Reorder the terms:
(-7 + 2X)(-3 + X)(X + 3)(2X + 5) + -91 = 0

Reorder the terms:
(-7 + 2X)(-3 + X)(3 + X)(2X + 5) + -91 = 0

Reorder the terms:
(-7 + 2X)(-3 + X)(3 + X)(5 + 2X) + -91 = 0

Multiply (-7 + 2X) * (-3 + X)
(-7(-3 + X) + 2X * (-3 + X))(3 + X)(5 + 2X) + -91 = 0
((-3 * -7 + X * -7) + 2X * (-3 + X))(3 + X)(5 + 2X) + -91 = 0
((21 + -7X) + 2X * (-3 + X))(3 + X)(5 + 2X) + -91 = 0
(21 + -7X + (-3 * 2X + X * 2X))(3 + X)(5 + 2X) + -91 = 0
(21 + -7X + (-6X + 2X2))(3 + X)(5 + 2X) + -91 = 0

Combine like terms: -7X + -6X = -13X
(21 + -13X + 2X2)(3 + X)(5 + 2X) + -91 = 0

Multiply (21 + -13X + 2X2) * (3 + X)
(21(3 + X) + -13X * (3 + X) + 2X2 * (3 + X))(5 + 2X) + -91 = 0
((3 * 21 + X * 21) + -13X * (3 + X) + 2X2 * (3 + X))(5 + 2X) + -91 = 0
((63 + 21X) + -13X * (3 + X) + 2X2 * (3 + X))(5 + 2X) + -91 = 0
(63 + 21X + (3 * -13X + X * -13X) + 2X2 * (3 + X))(5 + 2X) + -91 = 0
(63 + 21X + (-39X + -13X2) + 2X2 * (3 + X))(5 + 2X) + -91 = 0
(63 + 21X + -39X + -13X2 + (3 * 2X2 + X * 2X2))(5 + 2X) + -91 = 0
(63 + 21X + -39X + -13X2 + (6X2 + 2X3))(5 + 2X) + -91 = 0

Combine like terms: 21X + -39X = -18X
(63 + -18X + -13X2 + 6X2 + 2X3)(5 + 2X) + -91 = 0

Combine like terms: -13X2 + 6X2 = -7X2
(63 + -18X + -7X2 + 2X3)(5 + 2X) + -91 = 0

Multiply (63 + -18X + -7X2 + 2X3) * (5 + 2X)
(63(5 + 2X) + -18X * (5 + 2X) + -7X2 * (5 + 2X) + 2X3 * (5 + 2X)) + -91 = 0
((5 * 63 + 2X * 63) + -18X * (5 + 2X) + -7X2 * (5 + 2X) + 2X3 * (5 + 2X)) + -91 = 0
((315 + 126X) + -18X * (5 + 2X) + -7X2 * (5 + 2X) + 2X3 * (5 + 2X)) + -91 = 0
(315 + 126X + (5 * -18X + 2X * -18X) + -7X2 * (5 + 2X) + 2X3 * (5 + 2X)) + -91 = 0
(315 + 126X + (-90X + -36X2) + -7X2 * (5 + 2X) + 2X3 * (5 + 2X)) + -91 = 0
(315 + 126X + -90X + -36X2 + (5 * -7X2 + 2X * -7X2) + 2X3 * (5 + 2X)) + -91 = 0
(315 + 126X + -90X + -36X2 + (-35X2 + -14X3) + 2X3 * (5 + 2X)) + -91 = 0
(315 + 126X + -90X + -36X2 + -35X2 + -14X3 + (5 * 2X3 + 2X * 2X3)) + -91 = 0
(315 + 126X + -90X + -36X2 + -35X2 + -14X3 + (10X3 + 4X4)) + -91 = 0

Combine like terms: 126X + -90X = 36X
(315 + 36X + -36X2 + -35X2 + -14X3 + 10X3 + 4X4) + -91 = 0

Combine like terms: -36X2 + -35X2 = -71X2
(315 + 36X + -71X2 + -14X3 + 10X3 + 4X4) + -91 = 0

Combine like terms: -14X3 + 10X3 = -4X3
(315 + 36X + -71X2 + -4X3 + 4X4) + -91 = 0

Reorder the terms:
315 + -91 + 36X + -71X2 + -4X3 + 4X4 = 0

Combine like terms: 315 + -91 = 224
224 + 36X + -71X2 + -4X3 + 4X4 = 0

Solving
224 + 36X + -71X2 + -4X3 + 4X4 = 0

Solving for variable 'X'.

The solution to this equation could not be determined.

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