(2x-7)(x-9)(2x+5)=91

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Solution for (2x-7)(x-9)(2x+5)=91 equation:


Simplifying
(2x + -7)(x + -9)(2x + 5) = 91

Reorder the terms:
(-7 + 2x)(x + -9)(2x + 5) = 91

Reorder the terms:
(-7 + 2x)(-9 + x)(2x + 5) = 91

Reorder the terms:
(-7 + 2x)(-9 + x)(5 + 2x) = 91

Multiply (-7 + 2x) * (-9 + x)
(-7(-9 + x) + 2x * (-9 + x))(5 + 2x) = 91
((-9 * -7 + x * -7) + 2x * (-9 + x))(5 + 2x) = 91
((63 + -7x) + 2x * (-9 + x))(5 + 2x) = 91
(63 + -7x + (-9 * 2x + x * 2x))(5 + 2x) = 91
(63 + -7x + (-18x + 2x2))(5 + 2x) = 91

Combine like terms: -7x + -18x = -25x
(63 + -25x + 2x2)(5 + 2x) = 91

Multiply (63 + -25x + 2x2) * (5 + 2x)
(63(5 + 2x) + -25x * (5 + 2x) + 2x2 * (5 + 2x)) = 91
((5 * 63 + 2x * 63) + -25x * (5 + 2x) + 2x2 * (5 + 2x)) = 91
((315 + 126x) + -25x * (5 + 2x) + 2x2 * (5 + 2x)) = 91
(315 + 126x + (5 * -25x + 2x * -25x) + 2x2 * (5 + 2x)) = 91
(315 + 126x + (-125x + -50x2) + 2x2 * (5 + 2x)) = 91
(315 + 126x + -125x + -50x2 + (5 * 2x2 + 2x * 2x2)) = 91
(315 + 126x + -125x + -50x2 + (10x2 + 4x3)) = 91

Combine like terms: 126x + -125x = 1x
(315 + 1x + -50x2 + 10x2 + 4x3) = 91

Combine like terms: -50x2 + 10x2 = -40x2
(315 + 1x + -40x2 + 4x3) = 91

Solving
315 + 1x + -40x2 + 4x3 = 91

Solving for variable 'x'.

Reorder the terms:
315 + -91 + 1x + -40x2 + 4x3 = 91 + -91

Combine like terms: 315 + -91 = 224
224 + 1x + -40x2 + 4x3 = 91 + -91

Combine like terms: 91 + -91 = 0
224 + 1x + -40x2 + 4x3 = 0

The solution to this equation could not be determined.

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