(3x-21)(3x-21)=0

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Solution for (3x-21)(3x-21)=0 equation: 


Simplifying
(3x + -21)(3x + -21) = 0

Reorder the terms:
(-21 + 3x)(3x + -21) = 0

Reorder the terms:
(-21 + 3x)(-21 + 3x) = 0

Multiply (-21 + 3x) * (-21 + 3x)
(-21(-21 + 3x) + 3x * (-21 + 3x)) = 0
((-21 * -21 + 3x * -21) + 3x * (-21 + 3x)) = 0
((441 + -63x) + 3x * (-21 + 3x)) = 0
(441 + -63x + (-21 * 3x + 3x * 3x)) = 0
(441 + -63x + (-63x + 9x2)) = 0

Combine like terms: -63x + -63x = -126x
(441 + -126x + 9x2) = 0

Solving
441 + -126x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(49 + -14x + x2) = 0

Factor a trinomial.
9((7 + -1x)(7 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
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 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
Solution
x = {7, 7}

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