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

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


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

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

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

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

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

Multiply (-5 + 2x) * (-3 + x)
(-5(-3 + x) + 2x * (-3 + x))(3 + x)(7 + 2x) = 91
((-3 * -5 + x * -5) + 2x * (-3 + x))(3 + x)(7 + 2x) = 91
((15 + -5x) + 2x * (-3 + x))(3 + x)(7 + 2x) = 91
(15 + -5x + (-3 * 2x + x * 2x))(3 + x)(7 + 2x) = 91
(15 + -5x + (-6x + 2x2))(3 + x)(7 + 2x) = 91

Combine like terms: -5x + -6x = -11x
(15 + -11x + 2x2)(3 + x)(7 + 2x) = 91

Multiply (15 + -11x + 2x2) * (3 + x)
(15(3 + x) + -11x * (3 + x) + 2x2 * (3 + x))(7 + 2x) = 91
((3 * 15 + x * 15) + -11x * (3 + x) + 2x2 * (3 + x))(7 + 2x) = 91
((45 + 15x) + -11x * (3 + x) + 2x2 * (3 + x))(7 + 2x) = 91
(45 + 15x + (3 * -11x + x * -11x) + 2x2 * (3 + x))(7 + 2x) = 91
(45 + 15x + (-33x + -11x2) + 2x2 * (3 + x))(7 + 2x) = 91
(45 + 15x + -33x + -11x2 + (3 * 2x2 + x * 2x2))(7 + 2x) = 91
(45 + 15x + -33x + -11x2 + (6x2 + 2x3))(7 + 2x) = 91

Combine like terms: 15x + -33x = -18x
(45 + -18x + -11x2 + 6x2 + 2x3)(7 + 2x) = 91

Combine like terms: -11x2 + 6x2 = -5x2
(45 + -18x + -5x2 + 2x3)(7 + 2x) = 91

Multiply (45 + -18x + -5x2 + 2x3) * (7 + 2x)
(45(7 + 2x) + -18x * (7 + 2x) + -5x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
((7 * 45 + 2x * 45) + -18x * (7 + 2x) + -5x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
((315 + 90x) + -18x * (7 + 2x) + -5x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
(315 + 90x + (7 * -18x + 2x * -18x) + -5x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
(315 + 90x + (-126x + -36x2) + -5x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
(315 + 90x + -126x + -36x2 + (7 * -5x2 + 2x * -5x2) + 2x3 * (7 + 2x)) = 91
(315 + 90x + -126x + -36x2 + (-35x2 + -10x3) + 2x3 * (7 + 2x)) = 91
(315 + 90x + -126x + -36x2 + -35x2 + -10x3 + (7 * 2x3 + 2x * 2x3)) = 91
(315 + 90x + -126x + -36x2 + -35x2 + -10x3 + (14x3 + 4x4)) = 91

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

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

Combine like terms: -10x3 + 14x3 = 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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