(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 = -1x
(-21 + -1x + 2x2)(-3 + x)(5 + 2x) + -91 = 0

Multiply (-21 + -1x + 2x2) * (-3 + x)
(-21(-3 + x) + -1x * (-3 + x) + 2x2 * (-3 + x))(5 + 2x) + -91 = 0
((-3 * -21 + x * -21) + -1x * (-3 + x) + 2x2 * (-3 + x))(5 + 2x) + -91 = 0
((63 + -21x) + -1x * (-3 + x) + 2x2 * (-3 + x))(5 + 2x) + -91 = 0
(63 + -21x + (-3 * -1x + x * -1x) + 2x2 * (-3 + x))(5 + 2x) + -91 = 0
(63 + -21x + (3x + -1x2) + 2x2 * (-3 + x))(5 + 2x) + -91 = 0
(63 + -21x + 3x + -1x2 + (-3 * 2x2 + x * 2x2))(5 + 2x) + -91 = 0
(63 + -21x + 3x + -1x2 + (-6x2 + 2x3))(5 + 2x) + -91 = 0

Combine like terms: -21x + 3x = -18x
(63 + -18x + -1x2 + -6x2 + 2x3)(5 + 2x) + -91 = 0

Combine like terms: -1x2 + -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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