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

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

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

Combine like terms: 1x2 + 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 = -216x
(-315 + -216x + -36x2 + 35x2 + 14x3 + 10x3 + 4x4) = 91

Combine like terms: -36x2 + 35x2 = -1x2
(-315 + -216x + -1x2 + 14x3 + 10x3 + 4x4) = 91

Combine like terms: 14x3 + 10x3 = 24x3
(-315 + -216x + -1x2 + 24x3 + 4x4) = 91

Solving
-315 + -216x + -1x2 + 24x3 + 4x4 = 91

Solving for variable 'x'.

Reorder the terms:
-315 + -91 + -216x + -1x2 + 24x3 + 4x4 = 91 + -91

Combine like terms: -315 + -91 = -406
-406 + -216x + -1x2 + 24x3 + 4x4 = 91 + -91

Combine like terms: 91 + -91 = 0
-406 + -216x + -1x2 + 24x3 + 4x4 = 0

The solution to this equation could not be determined.

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