(2x-5)(x-2)(x+4)(2x+7)=91

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Solution for (2x-5)(x-2)(x+4)(2x+7)=91 equation: 


Simplifying
(2x + -5)(x + -2)(x + 4)(2x + 7) = 91

Reorder the terms:
(-5 + 2x)(x + -2)(x + 4)(2x + 7) = 91

Reorder the terms:
(-5 + 2x)(-2 + x)(x + 4)(2x + 7) = 91

Reorder the terms:
(-5 + 2x)(-2 + x)(4 + x)(2x + 7) = 91

Reorder the terms:
(-5 + 2x)(-2 + x)(4 + x)(7 + 2x) = 91

Multiply (-5 + 2x) * (-2 + x)
(-5(-2 + x) + 2x * (-2 + x))(4 + x)(7 + 2x) = 91
((-2 * -5 + x * -5) + 2x * (-2 + x))(4 + x)(7 + 2x) = 91
((10 + -5x) + 2x * (-2 + x))(4 + x)(7 + 2x) = 91
(10 + -5x + (-2 * 2x + x * 2x))(4 + x)(7 + 2x) = 91
(10 + -5x + (-4x + 2x2))(4 + x)(7 + 2x) = 91

Combine like terms: -5x + -4x = -9x
(10 + -9x + 2x2)(4 + x)(7 + 2x) = 91

Multiply (10 + -9x + 2x2) * (4 + x)
(10(4 + x) + -9x * (4 + x) + 2x2 * (4 + x))(7 + 2x) = 91
((4 * 10 + x * 10) + -9x * (4 + x) + 2x2 * (4 + x))(7 + 2x) = 91
((40 + 10x) + -9x * (4 + x) + 2x2 * (4 + x))(7 + 2x) = 91
(40 + 10x + (4 * -9x + x * -9x) + 2x2 * (4 + x))(7 + 2x) = 91
(40 + 10x + (-36x + -9x2) + 2x2 * (4 + x))(7 + 2x) = 91
(40 + 10x + -36x + -9x2 + (4 * 2x2 + x * 2x2))(7 + 2x) = 91
(40 + 10x + -36x + -9x2 + (8x2 + 2x3))(7 + 2x) = 91

Combine like terms: 10x + -36x = -26x
(40 + -26x + -9x2 + 8x2 + 2x3)(7 + 2x) = 91

Combine like terms: -9x2 + 8x2 = -1x2
(40 + -26x + -1x2 + 2x3)(7 + 2x) = 91

Multiply (40 + -26x + -1x2 + 2x3) * (7 + 2x)
(40(7 + 2x) + -26x * (7 + 2x) + -1x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
((7 * 40 + 2x * 40) + -26x * (7 + 2x) + -1x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
((280 + 80x) + -26x * (7 + 2x) + -1x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
(280 + 80x + (7 * -26x + 2x * -26x) + -1x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
(280 + 80x + (-182x + -52x2) + -1x2 * (7 + 2x) + 2x3 * (7 + 2x)) = 91
(280 + 80x + -182x + -52x2 + (7 * -1x2 + 2x * -1x2) + 2x3 * (7 + 2x)) = 91
(280 + 80x + -182x + -52x2 + (-7x2 + -2x3) + 2x3 * (7 + 2x)) = 91
(280 + 80x + -182x + -52x2 + -7x2 + -2x3 + (7 * 2x3 + 2x * 2x3)) = 91
(280 + 80x + -182x + -52x2 + -7x2 + -2x3 + (14x3 + 4x4)) = 91

Combine like terms: 80x + -182x = -102x
(280 + -102x + -52x2 + -7x2 + -2x3 + 14x3 + 4x4) = 91

Combine like terms: -52x2 + -7x2 = -59x2
(280 + -102x + -59x2 + -2x3 + 14x3 + 4x4) = 91

Combine like terms: -2x3 + 14x3 = 12x3
(280 + -102x + -59x2 + 12x3 + 4x4) = 91

Solving
280 + -102x + -59x2 + 12x3 + 4x4 = 91

Solving for variable 'x'.

Reorder the terms:
280 + -91 + -102x + -59x2 + 12x3 + 4x4 = 91 + -91

Combine like terms: 280 + -91 = 189
189 + -102x + -59x2 + 12x3 + 4x4 = 91 + -91

Combine like terms: 91 + -91 = 0
189 + -102x + -59x2 + 12x3 + 4x4 = 0

The solution to this equation could not be determined.

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