x^2*36=(2+x)(2+x)

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Solution for x^2*36=(2+x)(2+x) equation:


Simplifying
x2 * 36 = (2 + x)(2 + x)

Reorder the terms for easier multiplication:
36x2 = (2 + x)(2 + x)

Multiply (2 + x) * (2 + x)
36x2 = (2(2 + x) + x(2 + x))
36x2 = ((2 * 2 + x * 2) + x(2 + x))
36x2 = ((4 + 2x) + x(2 + x))
36x2 = (4 + 2x + (2 * x + x * x))
36x2 = (4 + 2x + (2x + x2))

Combine like terms: 2x + 2x = 4x
36x2 = (4 + 4x + x2)

Solving
36x2 = 4 + 4x + x2

Solving for variable 'x'.

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

Combine like terms: 36x2 + -1x2 = 35x2
-4 + -4x + 35x2 = 4 + 4x + x2 + -4 + -4x + -1x2

Reorder the terms:
-4 + -4x + 35x2 = 4 + -4 + 4x + -4x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-4 + -4x + 35x2 = 0 + 4x + -4x + x2 + -1x2
-4 + -4x + 35x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
-4 + -4x + 35x2 = 0 + x2 + -1x2
-4 + -4x + 35x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -4x + 35x2 = 0

Factor a trinomial.
(-2 + -7x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 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 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-0.2857142857, 0.4}

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