36x^2+1=12x

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Solution for 36x^2+1=12x equation:


Simplifying
36x2 + 1 = 12x

Reorder the terms:
1 + 36x2 = 12x

Solving
1 + 36x2 = 12x

Solving for variable 'x'.

Reorder the terms:
1 + -12x + 36x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -12x + 36x2 = 0

Factor a trinomial.
(1 + -6x)(1 + -6x) = 0

Subproblem 1

Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Subproblem 2

Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Solution

x = {0.1666666667, 0.1666666667}

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