9=3(x-5)3(x-5)

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Solution for 9=3(x-5)3(x-5) equation: 


Simplifying
9 = 3(x + -5) * 3(x + -5)

Reorder the terms:
9 = 3(-5 + x) * 3(x + -5)

Reorder the terms:
9 = 3(-5 + x) * 3(-5 + x)

Reorder the terms for easier multiplication:
9 = 3 * 3(-5 + x)(-5 + x)

Multiply 3 * 3
9 = 9(-5 + x)(-5 + x)

Multiply (-5 + x) * (-5 + x)
9 = 9(-5(-5 + x) + x(-5 + x))
9 = 9((-5 * -5 + x * -5) + x(-5 + x))
9 = 9((25 + -5x) + x(-5 + x))
9 = 9(25 + -5x + (-5 * x + x * x))
9 = 9(25 + -5x + (-5x + x2))

Combine like terms: -5x + -5x = -10x
9 = 9(25 + -10x + x2)
9 = (25 * 9 + -10x * 9 + x2 * 9)
9 = (225 + -90x + 9x2)

Solving
9 = 225 + -90x + 9x2

Solving for variable 'x'.

Combine like terms: 9 + -225 = -216
-216 + 90x + -9x2 = 225 + -90x + 9x2 + -225 + 90x + -9x2

Reorder the terms:
-216 + 90x + -9x2 = 225 + -225 + -90x + 90x + 9x2 + -9x2

Combine like terms: 225 + -225 = 0
-216 + 90x + -9x2 = 0 + -90x + 90x + 9x2 + -9x2
-216 + 90x + -9x2 = -90x + 90x + 9x2 + -9x2

Combine like terms: -90x + 90x = 0
-216 + 90x + -9x2 = 0 + 9x2 + -9x2
-216 + 90x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-216 + 90x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-24 + 10x + -1x2) = 0

Factor a trinomial.
9((-6 + x)(4 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {6, 4}

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