(3x-1)(3x-1)=25

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Solution for (3x-1)(3x-1)=25 equation: 


Simplifying
(3x + -1)(3x + -1) = 25

Reorder the terms:
(-1 + 3x)(3x + -1) = 25

Reorder the terms:
(-1 + 3x)(-1 + 3x) = 25

Multiply (-1 + 3x) * (-1 + 3x)
(-1(-1 + 3x) + 3x * (-1 + 3x)) = 25
((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) = 25
((1 + -3x) + 3x * (-1 + 3x)) = 25
(1 + -3x + (-1 * 3x + 3x * 3x)) = 25
(1 + -3x + (-3x + 9x2)) = 25

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) = 25

Solving
1 + -6x + 9x2 = 25

Solving for variable 'x'.

Reorder the terms:
1 + -25 + -6x + 9x2 = 25 + -25

Combine like terms: 1 + -25 = -24
-24 + -6x + 9x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-24 + -6x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -2x + 3x2) = 0

Factor a trinomial.
3((-4 + -3x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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 = {-1.333333333, 2}

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