(x^2+x-1)(x^2+x+2)=40

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Solution for (x^2+x-1)(x^2+x+2)=40 equation:


Simplifying
(x2 + x + -1)(x2 + x + 2) = 40

Reorder the terms:
(-1 + x + x2)(x2 + x + 2) = 40

Reorder the terms:
(-1 + x + x2)(2 + x + x2) = 40

Multiply (-1 + x + x2) * (2 + x + x2)
(-1(2 + x + x2) + x(2 + x + x2) + x2(2 + x + x2)) = 40
((2 * -1 + x * -1 + x2 * -1) + x(2 + x + x2) + x2(2 + x + x2)) = 40
((-2 + -1x + -1x2) + x(2 + x + x2) + x2(2 + x + x2)) = 40
(-2 + -1x + -1x2 + (2 * x + x * x + x2 * x) + x2(2 + x + x2)) = 40
(-2 + -1x + -1x2 + (2x + x2 + x3) + x2(2 + x + x2)) = 40
(-2 + -1x + -1x2 + 2x + x2 + x3 + (2 * x2 + x * x2 + x2 * x2)) = 40
(-2 + -1x + -1x2 + 2x + x2 + x3 + (2x2 + x3 + x4)) = 40

Reorder the terms:
(-2 + -1x + 2x + -1x2 + x2 + 2x2 + x3 + x3 + x4) = 40

Combine like terms: -1x + 2x = 1x
(-2 + 1x + -1x2 + x2 + 2x2 + x3 + x3 + x4) = 40

Combine like terms: -1x2 + x2 = 0
(-2 + 1x + 0 + 2x2 + x3 + x3 + x4) = 40
(-2 + 1x + 2x2 + x3 + x3 + x4) = 40

Combine like terms: x3 + x3 = 2x3
(-2 + 1x + 2x2 + 2x3 + x4) = 40

Solving
-2 + 1x + 2x2 + 2x3 + x4 = 40

Solving for variable 'x'.

Reorder the terms:
-2 + -40 + 1x + 2x2 + 2x3 + x4 = 40 + -40

Combine like terms: -2 + -40 = -42
-42 + 1x + 2x2 + 2x3 + x4 = 40 + -40

Combine like terms: 40 + -40 = 0
-42 + 1x + 2x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

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