x^3+6x^2-7x+9=9

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Solution for x^3+6x^2-7x+9=9 equation: 


Simplifying
x3 + 6x2 + -7x + 9 = 9

Reorder the terms:
9 + -7x + 6x2 + x3 = 9

Add '-9' to each side of the equation.
9 + -7x + 6x2 + -9 + x3 = 9 + -9

Reorder the terms:
9 + -9 + -7x + 6x2 + x3 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -7x + 6x2 + x3 = 9 + -9
-7x + 6x2 + x3 = 9 + -9

Combine like terms: 9 + -9 = 0
-7x + 6x2 + x3 = 0

Solving
-7x + 6x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 6x + x2) = 0

Factor a trinomial.
x((-7 + -1x)(1 + -1x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, -7, 1}

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