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

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


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

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

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

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

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

Multiply (-7 + 2x) * (5 + 2x)
(-7(5 + 2x) + 2x * (5 + 2x))(-3 + x)(3 + x) + -91 = 0
((5 * -7 + 2x * -7) + 2x * (5 + 2x))(-3 + x)(3 + x) + -91 = 0
((-35 + -14x) + 2x * (5 + 2x))(-3 + x)(3 + x) + -91 = 0
(-35 + -14x + (5 * 2x + 2x * 2x))(-3 + x)(3 + x) + -91 = 0
(-35 + -14x + (10x + 4x2))(-3 + x)(3 + x) + -91 = 0

Combine like terms: -14x + 10x = -4x
(-35 + -4x + 4x2)(-3 + x)(3 + x) + -91 = 0

Multiply (-35 + -4x + 4x2) * (-3 + x)
(-35(-3 + x) + -4x * (-3 + x) + 4x2 * (-3 + x))(3 + x) + -91 = 0
((-3 * -35 + x * -35) + -4x * (-3 + x) + 4x2 * (-3 + x))(3 + x) + -91 = 0
((105 + -35x) + -4x * (-3 + x) + 4x2 * (-3 + x))(3 + x) + -91 = 0
(105 + -35x + (-3 * -4x + x * -4x) + 4x2 * (-3 + x))(3 + x) + -91 = 0
(105 + -35x + (12x + -4x2) + 4x2 * (-3 + x))(3 + x) + -91 = 0
(105 + -35x + 12x + -4x2 + (-3 * 4x2 + x * 4x2))(3 + x) + -91 = 0
(105 + -35x + 12x + -4x2 + (-12x2 + 4x3))(3 + x) + -91 = 0

Combine like terms: -35x + 12x = -23x
(105 + -23x + -4x2 + -12x2 + 4x3)(3 + x) + -91 = 0

Combine like terms: -4x2 + -12x2 = -16x2
(105 + -23x + -16x2 + 4x3)(3 + x) + -91 = 0

Multiply (105 + -23x + -16x2 + 4x3) * (3 + x)
(105(3 + x) + -23x * (3 + x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0
((3 * 105 + x * 105) + -23x * (3 + x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0
((315 + 105x) + -23x * (3 + x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0
(315 + 105x + (3 * -23x + x * -23x) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0
(315 + 105x + (-69x + -23x2) + -16x2 * (3 + x) + 4x3 * (3 + x)) + -91 = 0
(315 + 105x + -69x + -23x2 + (3 * -16x2 + x * -16x2) + 4x3 * (3 + x)) + -91 = 0
(315 + 105x + -69x + -23x2 + (-48x2 + -16x3) + 4x3 * (3 + x)) + -91 = 0
(315 + 105x + -69x + -23x2 + -48x2 + -16x3 + (3 * 4x3 + x * 4x3)) + -91 = 0
(315 + 105x + -69x + -23x2 + -48x2 + -16x3 + (12x3 + 4x4)) + -91 = 0

Combine like terms: 105x + -69x = 36x
(315 + 36x + -23x2 + -48x2 + -16x3 + 12x3 + 4x4) + -91 = 0

Combine like terms: -23x2 + -48x2 = -71x2
(315 + 36x + -71x2 + -16x3 + 12x3 + 4x4) + -91 = 0

Combine like terms: -16x3 + 12x3 = -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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