36x^2+36=x^2+69x+8

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Solution for 36x^2+36=x^2+69x+8 equation: 


Simplifying
36x2 + 36 = x2 + 69x + 8

Reorder the terms:
36 + 36x2 = x2 + 69x + 8

Reorder the terms:
36 + 36x2 = 8 + 69x + x2

Solving
36 + 36x2 = 8 + 69x + x2

Solving for variable 'x'.

Reorder the terms:
36 + -8 + -69x + 36x2 + -1x2 = 8 + 69x + x2 + -8 + -69x + -1x2

Combine like terms: 36 + -8 = 28
28 + -69x + 36x2 + -1x2 = 8 + 69x + x2 + -8 + -69x + -1x2

Combine like terms: 36x2 + -1x2 = 35x2
28 + -69x + 35x2 = 8 + 69x + x2 + -8 + -69x + -1x2

Reorder the terms:
28 + -69x + 35x2 = 8 + -8 + 69x + -69x + x2 + -1x2

Combine like terms: 8 + -8 = 0
28 + -69x + 35x2 = 0 + 69x + -69x + x2 + -1x2
28 + -69x + 35x2 = 69x + -69x + x2 + -1x2

Combine like terms: 69x + -69x = 0
28 + -69x + 35x2 = 0 + x2 + -1x2
28 + -69x + 35x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
28 + -69x + 35x2 = 0

Factor a trinomial.
(4 + -7x)(7 + -5x) = 0


Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 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 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {0.5714285714, 1.4}

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