(2x)(2x)-36x+81-1=0

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Solution for (2x)(2x)-36x+81-1=0 equation: 


Simplifying
(2x)(2x) + -36x + 81 + -1 = 0

Remove parenthesis around (2x)
2x(2x) + -36x + 81 + -1 = 0

Remove parenthesis around (2x)
2x * 2x + -36x + 81 + -1 = 0

Reorder the terms for easier multiplication:
2 * 2x * x + -36x + 81 + -1 = 0

Multiply 2 * 2
4x * x + -36x + 81 + -1 = 0

Multiply x * x
4x2 + -36x + 81 + -1 = 0

Reorder the terms:
81 + -1 + -36x + 4x2 = 0

Combine like terms: 81 + -1 = 80
80 + -36x + 4x2 = 0

Solving
80 + -36x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + -9x + x2) = 0

Factor a trinomial.
4((4 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {4, 5}

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