(2x-7)(x-3)(x+3)(2x+5)=91

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


Simplifying
(2x + -7)(x + -3)(x + 3)(2x + 5) = 91

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

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

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

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

Multiply (-7 + 2x) * (-3 + x)
(-7(-3 + x) + 2x * (-3 + x))(3 + x)(5 + 2x) = 91
((-3 * -7 + x * -7) + 2x * (-3 + x))(3 + x)(5 + 2x) = 91
((21 + -7x) + 2x * (-3 + x))(3 + x)(5 + 2x) = 91
(21 + -7x + (-3 * 2x + x * 2x))(3 + x)(5 + 2x) = 91
(21 + -7x + (-6x + 2x2))(3 + x)(5 + 2x) = 91

Combine like terms: -7x + -6x = -13x
(21 + -13x + 2x2)(3 + x)(5 + 2x) = 91

Multiply (21 + -13x + 2x2) * (3 + x)
(21(3 + x) + -13x * (3 + x) + 2x2 * (3 + x))(5 + 2x) = 91
((3 * 21 + x * 21) + -13x * (3 + x) + 2x2 * (3 + x))(5 + 2x) = 91
((63 + 21x) + -13x * (3 + x) + 2x2 * (3 + x))(5 + 2x) = 91
(63 + 21x + (3 * -13x + x * -13x) + 2x2 * (3 + x))(5 + 2x) = 91
(63 + 21x + (-39x + -13x2) + 2x2 * (3 + x))(5 + 2x) = 91
(63 + 21x + -39x + -13x2 + (3 * 2x2 + x * 2x2))(5 + 2x) = 91
(63 + 21x + -39x + -13x2 + (6x2 + 2x3))(5 + 2x) = 91

Combine like terms: 21x + -39x = -18x
(63 + -18x + -13x2 + 6x2 + 2x3)(5 + 2x) = 91

Combine like terms: -13x2 + 6x2 = -7x2
(63 + -18x + -7x2 + 2x3)(5 + 2x) = 91

Multiply (63 + -18x + -7x2 + 2x3) * (5 + 2x)
(63(5 + 2x) + -18x * (5 + 2x) + -7x2 * (5 + 2x) + 2x3 * (5 + 2x)) = 91
((5 * 63 + 2x * 63) + -18x * (5 + 2x) + -7x2 * (5 + 2x) + 2x3 * (5 + 2x)) = 91
((315 + 126x) + -18x * (5 + 2x) + -7x2 * (5 + 2x) + 2x3 * (5 + 2x)) = 91
(315 + 126x + (5 * -18x + 2x * -18x) + -7x2 * (5 + 2x) + 2x3 * (5 + 2x)) = 91
(315 + 126x + (-90x + -36x2) + -7x2 * (5 + 2x) + 2x3 * (5 + 2x)) = 91
(315 + 126x + -90x + -36x2 + (5 * -7x2 + 2x * -7x2) + 2x3 * (5 + 2x)) = 91
(315 + 126x + -90x + -36x2 + (-35x2 + -14x3) + 2x3 * (5 + 2x)) = 91
(315 + 126x + -90x + -36x2 + -35x2 + -14x3 + (5 * 2x3 + 2x * 2x3)) = 91
(315 + 126x + -90x + -36x2 + -35x2 + -14x3 + (10x3 + 4x4)) = 91

Combine like terms: 126x + -90x = 36x
(315 + 36x + -36x2 + -35x2 + -14x3 + 10x3 + 4x4) = 91

Combine like terms: -36x2 + -35x2 = -71x2
(315 + 36x + -71x2 + -14x3 + 10x3 + 4x4) = 91

Combine like terms: -14x3 + 10x3 = -4x3
(315 + 36x + -71x2 + -4x3 + 4x4) = 91

Solving
315 + 36x + -71x2 + -4x3 + 4x4 = 91

Solving for variable 'x'.

Reorder the terms:
315 + -91 + 36x + -71x2 + -4x3 + 4x4 = 91 + -91

Combine like terms: 315 + -91 = 224
224 + 36x + -71x2 + -4x3 + 4x4 = 91 + -91

Combine like terms: 91 + -91 = 0
224 + 36x + -71x2 + -4x3 + 4x4 = 0

The solution to this equation could not be determined.

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