25=(3x-5)*(3x-5)

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Solution for 25=(3x-5)*(3x-5) equation: 


Simplifying
25 = (3x + -5)(3x + -5)

Reorder the terms:
25 = (-5 + 3x)(3x + -5)

Reorder the terms:
25 = (-5 + 3x)(-5 + 3x)

Multiply (-5 + 3x) * (-5 + 3x)
25 = (-5(-5 + 3x) + 3x * (-5 + 3x))
25 = ((-5 * -5 + 3x * -5) + 3x * (-5 + 3x))
25 = ((25 + -15x) + 3x * (-5 + 3x))
25 = (25 + -15x + (-5 * 3x + 3x * 3x))
25 = (25 + -15x + (-15x + 9x2))

Combine like terms: -15x + -15x = -30x
25 = (25 + -30x + 9x2)

Add '-25' to each side of the equation.
25 + -25 = 25 + -30x + -25 + 9x2

Combine like terms: 25 + -25 = 0
0 = 25 + -30x + -25 + 9x2

Reorder the terms:
0 = 25 + -25 + -30x + 9x2

Combine like terms: 25 + -25 = 0
0 = 0 + -30x + 9x2
0 = -30x + 9x2

Solving
0 = -30x + 9x2

Solving for variable 'x'.
Remove the zero:
30x + -9x2 = -30x + 9x2 + 30x + -9x2

Reorder the terms:
30x + -9x2 = -30x + 30x + 9x2 + -9x2

Combine like terms: -30x + 30x = 0
30x + -9x2 = 0 + 9x2 + -9x2
30x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
30x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(10 + -3x) = 0

Ignore the factor 3.

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 '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {0, 3.333333333}

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