9x-9=x(x+5)(x+4)-6

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Solution for 9x-9=x(x+5)(x+4)-6 equation:


Simplifying
9x + -9 = x(x + 5)(x + 4) + -6

Reorder the terms:
-9 + 9x = x(x + 5)(x + 4) + -6

Reorder the terms:
-9 + 9x = x(5 + x)(x + 4) + -6

Reorder the terms:
-9 + 9x = x(5 + x)(4 + x) + -6

Multiply (5 + x) * (4 + x)
-9 + 9x = x(5(4 + x) + x(4 + x)) + -6
-9 + 9x = x((4 * 5 + x * 5) + x(4 + x)) + -6
-9 + 9x = x((20 + 5x) + x(4 + x)) + -6
-9 + 9x = x(20 + 5x + (4 * x + x * x)) + -6
-9 + 9x = x(20 + 5x + (4x + x2)) + -6

Combine like terms: 5x + 4x = 9x
-9 + 9x = x(20 + 9x + x2) + -6
-9 + 9x = (20 * x + 9x * x + x2 * x) + -6
-9 + 9x = (20x + 9x2 + x3) + -6

Reorder the terms:
-9 + 9x = -6 + 20x + 9x2 + x3

Solving
-9 + 9x = -6 + 20x + 9x2 + x3

Solving for variable 'x'.

Reorder the terms:
-9 + 6 + 9x + -20x + -9x2 + -1x3 = -6 + 20x + 9x2 + x3 + 6 + -20x + -9x2 + -1x3

Combine like terms: -9 + 6 = -3
-3 + 9x + -20x + -9x2 + -1x3 = -6 + 20x + 9x2 + x3 + 6 + -20x + -9x2 + -1x3

Combine like terms: 9x + -20x = -11x
-3 + -11x + -9x2 + -1x3 = -6 + 20x + 9x2 + x3 + 6 + -20x + -9x2 + -1x3

Reorder the terms:
-3 + -11x + -9x2 + -1x3 = -6 + 6 + 20x + -20x + 9x2 + -9x2 + x3 + -1x3

Combine like terms: -6 + 6 = 0
-3 + -11x + -9x2 + -1x3 = 0 + 20x + -20x + 9x2 + -9x2 + x3 + -1x3
-3 + -11x + -9x2 + -1x3 = 20x + -20x + 9x2 + -9x2 + x3 + -1x3

Combine like terms: 20x + -20x = 0
-3 + -11x + -9x2 + -1x3 = 0 + 9x2 + -9x2 + x3 + -1x3
-3 + -11x + -9x2 + -1x3 = 9x2 + -9x2 + x3 + -1x3

Combine like terms: 9x2 + -9x2 = 0
-3 + -11x + -9x2 + -1x3 = 0 + x3 + -1x3
-3 + -11x + -9x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-3 + -11x + -9x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 11x + 9x2 + x3) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(3 + 11x + 9x2 + x3)' equal to zero and attempt to solve: Simplifying 3 + 11x + 9x2 + x3 = 0 Solving 3 + 11x + 9x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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