3x(x-1)+9=15

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Solution for 3x(x-1)+9=15 equation: 


Simplifying
3x(x + -1) + 9 = 15

Reorder the terms:
3x(-1 + x) + 9 = 15
(-1 * 3x + x * 3x) + 9 = 15
(-3x + 3x2) + 9 = 15

Reorder the terms:
9 + -3x + 3x2 = 15

Solving
9 + -3x + 3x2 = 15

Solving for variable 'x'.

Reorder the terms:
9 + -15 + -3x + 3x2 = 15 + -15

Combine like terms: 9 + -15 = -6
-6 + -3x + 3x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-6 + -3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + -1x + x2) = 0

Factor a trinomial.
3((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-1, 2}

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