(x^2+x-5)(x^2+x+1)=-9

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Solution for (x^2+x-5)(x^2+x+1)=-9 equation:


Simplifying
(x2 + x + -5)(x2 + x + 1) = -9

Reorder the terms:
(-5 + x + x2)(x2 + x + 1) = -9

Reorder the terms:
(-5 + x + x2)(1 + x + x2) = -9

Multiply (-5 + x + x2) * (1 + x + x2)
(-5(1 + x + x2) + x(1 + x + x2) + x2(1 + x + x2)) = -9
((1 * -5 + x * -5 + x2 * -5) + x(1 + x + x2) + x2(1 + x + x2)) = -9
((-5 + -5x + -5x2) + x(1 + x + x2) + x2(1 + x + x2)) = -9
(-5 + -5x + -5x2 + (1 * x + x * x + x2 * x) + x2(1 + x + x2)) = -9
(-5 + -5x + -5x2 + (1x + x2 + x3) + x2(1 + x + x2)) = -9
(-5 + -5x + -5x2 + 1x + x2 + x3 + (1 * x2 + x * x2 + x2 * x2)) = -9
(-5 + -5x + -5x2 + 1x + x2 + x3 + (1x2 + x3 + x4)) = -9

Reorder the terms:
(-5 + -5x + 1x + -5x2 + x2 + 1x2 + x3 + x3 + x4) = -9

Combine like terms: -5x + 1x = -4x
(-5 + -4x + -5x2 + x2 + 1x2 + x3 + x3 + x4) = -9

Combine like terms: -5x2 + x2 = -4x2
(-5 + -4x + -4x2 + 1x2 + x3 + x3 + x4) = -9

Combine like terms: -4x2 + 1x2 = -3x2
(-5 + -4x + -3x2 + x3 + x3 + x4) = -9

Combine like terms: x3 + x3 = 2x3
(-5 + -4x + -3x2 + 2x3 + x4) = -9

Solving
-5 + -4x + -3x2 + 2x3 + x4 = -9

Solving for variable 'x'.

Reorder the terms:
-5 + 9 + -4x + -3x2 + 2x3 + x4 = -9 + 9

Combine like terms: -5 + 9 = 4
4 + -4x + -3x2 + 2x3 + x4 = -9 + 9

Combine like terms: -9 + 9 = 0
4 + -4x + -3x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

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