=(4x+9)(x^2-x+1)-(x^2-4)

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Solution for =(4x+9)(x^2-x+1)-(x^2-4) equation: 


Simplifying
0 = (4x + 9)(x2 + -1x + 1) + -1(x2 + -4)

Reorder the terms:
0 = (9 + 4x)(x2 + -1x + 1) + -1(x2 + -4)

Reorder the terms:
0 = (9 + 4x)(1 + -1x + x2) + -1(x2 + -4)

Multiply (9 + 4x) * (1 + -1x + x2)
0 = (9(1 + -1x + x2) + 4x * (1 + -1x + x2)) + -1(x2 + -4)
0 = ((1 * 9 + -1x * 9 + x2 * 9) + 4x * (1 + -1x + x2)) + -1(x2 + -4)
0 = ((9 + -9x + 9x2) + 4x * (1 + -1x + x2)) + -1(x2 + -4)
0 = (9 + -9x + 9x2 + (1 * 4x + -1x * 4x + x2 * 4x)) + -1(x2 + -4)
0 = (9 + -9x + 9x2 + (4x + -4x2 + 4x3)) + -1(x2 + -4)

Reorder the terms:
0 = (9 + -9x + 4x + 9x2 + -4x2 + 4x3) + -1(x2 + -4)

Combine like terms: -9x + 4x = -5x
0 = (9 + -5x + 9x2 + -4x2 + 4x3) + -1(x2 + -4)

Combine like terms: 9x2 + -4x2 = 5x2
0 = (9 + -5x + 5x2 + 4x3) + -1(x2 + -4)

Reorder the terms:
0 = 9 + -5x + 5x2 + 4x3 + -1(-4 + x2)
0 = 9 + -5x + 5x2 + 4x3 + (-4 * -1 + x2 * -1)
0 = 9 + -5x + 5x2 + 4x3 + (4 + -1x2)

Reorder the terms:
0 = 9 + 4 + -5x + 5x2 + -1x2 + 4x3

Combine like terms: 9 + 4 = 13
0 = 13 + -5x + 5x2 + -1x2 + 4x3

Combine like terms: 5x2 + -1x2 = 4x2
0 = 13 + -5x + 4x2 + 4x3

Solving
0 = 13 + -5x + 4x2 + 4x3

Solving for variable 'x'.

Combine like terms: 0 + -13 = -13
-13 + 5x + -4x2 + -4x3 = 13 + -5x + 4x2 + 4x3 + -13 + 5x + -4x2 + -4x3

Reorder the terms:
-13 + 5x + -4x2 + -4x3 = 13 + -13 + -5x + 5x + 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: 13 + -13 = 0
-13 + 5x + -4x2 + -4x3 = 0 + -5x + 5x + 4x2 + -4x2 + 4x3 + -4x3
-13 + 5x + -4x2 + -4x3 = -5x + 5x + 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: -5x + 5x = 0
-13 + 5x + -4x2 + -4x3 = 0 + 4x2 + -4x2 + 4x3 + -4x3
-13 + 5x + -4x2 + -4x3 = 4x2 + -4x2 + 4x3 + -4x3

Combine like terms: 4x2 + -4x2 = 0
-13 + 5x + -4x2 + -4x3 = 0 + 4x3 + -4x3
-13 + 5x + -4x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-13 + 5x + -4x2 + -4x3 = 0

The solution to this equation could not be determined.

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