(x^2+2x+8)(x^2-8x+15)=270

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Solution for (x^2+2x+8)(x^2-8x+15)=270 equation:


Simplifying
(x2 + 2x + 8)(x2 + -8x + 15) = 270

Reorder the terms:
(8 + 2x + x2)(x2 + -8x + 15) = 270

Reorder the terms:
(8 + 2x + x2)(15 + -8x + x2) = 270

Multiply (8 + 2x + x2) * (15 + -8x + x2)
(8(15 + -8x + x2) + 2x * (15 + -8x + x2) + x2(15 + -8x + x2)) = 270
((15 * 8 + -8x * 8 + x2 * 8) + 2x * (15 + -8x + x2) + x2(15 + -8x + x2)) = 270
((120 + -64x + 8x2) + 2x * (15 + -8x + x2) + x2(15 + -8x + x2)) = 270
(120 + -64x + 8x2 + (15 * 2x + -8x * 2x + x2 * 2x) + x2(15 + -8x + x2)) = 270
(120 + -64x + 8x2 + (30x + -16x2 + 2x3) + x2(15 + -8x + x2)) = 270
(120 + -64x + 8x2 + 30x + -16x2 + 2x3 + (15 * x2 + -8x * x2 + x2 * x2)) = 270
(120 + -64x + 8x2 + 30x + -16x2 + 2x3 + (15x2 + -8x3 + x4)) = 270

Reorder the terms:
(120 + -64x + 30x + 8x2 + -16x2 + 15x2 + 2x3 + -8x3 + x4) = 270

Combine like terms: -64x + 30x = -34x
(120 + -34x + 8x2 + -16x2 + 15x2 + 2x3 + -8x3 + x4) = 270

Combine like terms: 8x2 + -16x2 = -8x2
(120 + -34x + -8x2 + 15x2 + 2x3 + -8x3 + x4) = 270

Combine like terms: -8x2 + 15x2 = 7x2
(120 + -34x + 7x2 + 2x3 + -8x3 + x4) = 270

Combine like terms: 2x3 + -8x3 = -6x3
(120 + -34x + 7x2 + -6x3 + x4) = 270

Solving
120 + -34x + 7x2 + -6x3 + x4 = 270

Solving for variable 'x'.

Reorder the terms:
120 + -270 + -34x + 7x2 + -6x3 + x4 = 270 + -270

Combine like terms: 120 + -270 = -150
-150 + -34x + 7x2 + -6x3 + x4 = 270 + -270

Combine like terms: 270 + -270 = 0
-150 + -34x + 7x2 + -6x3 + x4 = 0

The solution to this equation could not be determined.

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