(x+2)(x-5)(x-6)(x+7)=144

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Solution for (x+2)(x-5)(x-6)(x+7)=144 equation: 


Simplifying
(x + 2)(x + -5)(x + -6)(x + 7) = 144

Reorder the terms:
(2 + x)(x + -5)(x + -6)(x + 7) = 144

Reorder the terms:
(2 + x)(-5 + x)(x + -6)(x + 7) = 144

Reorder the terms:
(2 + x)(-5 + x)(-6 + x)(x + 7) = 144

Reorder the terms:
(2 + x)(-5 + x)(-6 + x)(7 + x) = 144

Multiply (2 + x) * (-5 + x)
(2(-5 + x) + x(-5 + x))(-6 + x)(7 + x) = 144
((-5 * 2 + x * 2) + x(-5 + x))(-6 + x)(7 + x) = 144
((-10 + 2x) + x(-5 + x))(-6 + x)(7 + x) = 144
(-10 + 2x + (-5 * x + x * x))(-6 + x)(7 + x) = 144
(-10 + 2x + (-5x + x2))(-6 + x)(7 + x) = 144

Combine like terms: 2x + -5x = -3x
(-10 + -3x + x2)(-6 + x)(7 + x) = 144

Multiply (-10 + -3x + x2) * (-6 + x)
(-10(-6 + x) + -3x * (-6 + x) + x2(-6 + x))(7 + x) = 144
((-6 * -10 + x * -10) + -3x * (-6 + x) + x2(-6 + x))(7 + x) = 144
((60 + -10x) + -3x * (-6 + x) + x2(-6 + x))(7 + x) = 144
(60 + -10x + (-6 * -3x + x * -3x) + x2(-6 + x))(7 + x) = 144
(60 + -10x + (18x + -3x2) + x2(-6 + x))(7 + x) = 144
(60 + -10x + 18x + -3x2 + (-6 * x2 + x * x2))(7 + x) = 144
(60 + -10x + 18x + -3x2 + (-6x2 + x3))(7 + x) = 144

Combine like terms: -10x + 18x = 8x
(60 + 8x + -3x2 + -6x2 + x3)(7 + x) = 144

Combine like terms: -3x2 + -6x2 = -9x2
(60 + 8x + -9x2 + x3)(7 + x) = 144

Multiply (60 + 8x + -9x2 + x3) * (7 + x)
(60(7 + x) + 8x * (7 + x) + -9x2 * (7 + x) + x3(7 + x)) = 144
((7 * 60 + x * 60) + 8x * (7 + x) + -9x2 * (7 + x) + x3(7 + x)) = 144
((420 + 60x) + 8x * (7 + x) + -9x2 * (7 + x) + x3(7 + x)) = 144
(420 + 60x + (7 * 8x + x * 8x) + -9x2 * (7 + x) + x3(7 + x)) = 144
(420 + 60x + (56x + 8x2) + -9x2 * (7 + x) + x3(7 + x)) = 144
(420 + 60x + 56x + 8x2 + (7 * -9x2 + x * -9x2) + x3(7 + x)) = 144
(420 + 60x + 56x + 8x2 + (-63x2 + -9x3) + x3(7 + x)) = 144
(420 + 60x + 56x + 8x2 + -63x2 + -9x3 + (7 * x3 + x * x3)) = 144
(420 + 60x + 56x + 8x2 + -63x2 + -9x3 + (7x3 + x4)) = 144

Combine like terms: 60x + 56x = 116x
(420 + 116x + 8x2 + -63x2 + -9x3 + 7x3 + x4) = 144

Combine like terms: 8x2 + -63x2 = -55x2
(420 + 116x + -55x2 + -9x3 + 7x3 + x4) = 144

Combine like terms: -9x3 + 7x3 = -2x3
(420 + 116x + -55x2 + -2x3 + x4) = 144

Solving
420 + 116x + -55x2 + -2x3 + x4 = 144

Solving for variable 'x'.

Reorder the terms:
420 + -144 + 116x + -55x2 + -2x3 + x4 = 144 + -144

Combine like terms: 420 + -144 = 276
276 + 116x + -55x2 + -2x3 + x4 = 144 + -144

Combine like terms: 144 + -144 = 0
276 + 116x + -55x2 + -2x3 + x4 = 0

The solution to this equation could not be determined.

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