-(x-3)(x^2+3x+9)+(x-1)(x^2+x+1)=26

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Solution for -(x-3)(x^2+3x+9)+(x-1)(x^2+x+1)=26 equation: 


Simplifying
-1(x + -3)(x2 + 3x + 9) + (x + -1)(x2 + x + 1) = 26

Reorder the terms:
-1(-3 + x)(x2 + 3x + 9) + (x + -1)(x2 + x + 1) = 26

Reorder the terms:
-1(-3 + x)(9 + 3x + x2) + (x + -1)(x2 + x + 1) = 26

Multiply (-3 + x) * (9 + 3x + x2)
-1(-3(9 + 3x + x2) + x(9 + 3x + x2)) + (x + -1)(x2 + x + 1) = 26
-1((9 * -3 + 3x * -3 + x2 * -3) + x(9 + 3x + x2)) + (x + -1)(x2 + x + 1) = 26
-1((-27 + -9x + -3x2) + x(9 + 3x + x2)) + (x + -1)(x2 + x + 1) = 26
-1(-27 + -9x + -3x2 + (9 * x + 3x * x + x2 * x)) + (x + -1)(x2 + x + 1) = 26
-1(-27 + -9x + -3x2 + (9x + 3x2 + x3)) + (x + -1)(x2 + x + 1) = 26

Reorder the terms:
-1(-27 + -9x + 9x + -3x2 + 3x2 + x3) + (x + -1)(x2 + x + 1) = 26

Combine like terms: -9x + 9x = 0
-1(-27 + 0 + -3x2 + 3x2 + x3) + (x + -1)(x2 + x + 1) = 26
-1(-27 + -3x2 + 3x2 + x3) + (x + -1)(x2 + x + 1) = 26

Combine like terms: -3x2 + 3x2 = 0
-1(-27 + 0 + x3) + (x + -1)(x2 + x + 1) = 26
-1(-27 + x3) + (x + -1)(x2 + x + 1) = 26
(-27 * -1 + x3 * -1) + (x + -1)(x2 + x + 1) = 26
(27 + -1x3) + (x + -1)(x2 + x + 1) = 26

Reorder the terms:
27 + -1x3 + (-1 + x)(x2 + x + 1) = 26

Reorder the terms:
27 + -1x3 + (-1 + x)(1 + x + x2) = 26

Multiply (-1 + x) * (1 + x + x2)
27 + -1x3 + (-1(1 + x + x2) + x(1 + x + x2)) = 26
27 + -1x3 + ((1 * -1 + x * -1 + x2 * -1) + x(1 + x + x2)) = 26
27 + -1x3 + ((-1 + -1x + -1x2) + x(1 + x + x2)) = 26
27 + -1x3 + (-1 + -1x + -1x2 + (1 * x + x * x + x2 * x)) = 26
27 + -1x3 + (-1 + -1x + -1x2 + (1x + x2 + x3)) = 26

Reorder the terms:
27 + -1x3 + (-1 + -1x + 1x + -1x2 + x2 + x3) = 26

Combine like terms: -1x + 1x = 0
27 + -1x3 + (-1 + 0 + -1x2 + x2 + x3) = 26
27 + -1x3 + (-1 + -1x2 + x2 + x3) = 26

Combine like terms: -1x2 + x2 = 0
27 + -1x3 + (-1 + 0 + x3) = 26
27 + -1x3 + (-1 + x3) = 26

Reorder the terms:
27 + -1 + -1x3 + x3 = 26

Combine like terms: 27 + -1 = 26
26 + -1x3 + x3 = 26

Combine like terms: -1x3 + x3 = 0
26 + 0 = 26
26 = 26

Add '-26' to each side of the equation.
26 + -26 = 26 + -26

Combine like terms: 26 + -26 = 0
0 = 26 + -26

Combine like terms: 26 + -26 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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