0=36x^2-84x+49

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Solution for 0=36x^2-84x+49 equation: 


Simplifying
0 = 36x2 + -84x + 49

Reorder the terms:
0 = 49 + -84x + 36x2

Solving
0 = 49 + -84x + 36x2

Solving for variable 'x'.

Combine like terms: 0 + -49 = -49
-49 + 84x + -36x2 = 49 + -84x + 36x2 + -49 + 84x + -36x2

Reorder the terms:
-49 + 84x + -36x2 = 49 + -49 + -84x + 84x + 36x2 + -36x2

Combine like terms: 49 + -49 = 0
-49 + 84x + -36x2 = 0 + -84x + 84x + 36x2 + -36x2
-49 + 84x + -36x2 = -84x + 84x + 36x2 + -36x2

Combine like terms: -84x + 84x = 0
-49 + 84x + -36x2 = 0 + 36x2 + -36x2
-49 + 84x + -36x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
-49 + 84x + -36x2 = 0

Factor a trinomial.
(-7 + 6x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-7 + 6x)' equal to zero and attempt to solve:

Simplifying
-7 + 6x = 0

Solving
-7 + 6x = 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 + 6x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 0 + 7
6x = 0 + 7

Combine like terms: 0 + 7 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {1.166666667, 1.166666667}

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