324x^2+36x+1=0

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Solution for 324x^2+36x+1=0 equation:


Simplifying
324x2 + 36x + 1 = 0

Reorder the terms:
1 + 36x + 324x2 = 0

Solving
1 + 36x + 324x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + 18x)(1 + 18x) = 0

Subproblem 1

Set the factor '(1 + 18x)' equal to zero and attempt to solve: Simplifying 1 + 18x = 0 Solving 1 + 18x = 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 + 18x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 18x = 0 + -1 18x = 0 + -1 Combine like terms: 0 + -1 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556

Subproblem 2

Set the factor '(1 + 18x)' equal to zero and attempt to solve: Simplifying 1 + 18x = 0 Solving 1 + 18x = 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 + 18x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 18x = 0 + -1 18x = 0 + -1 Combine like terms: 0 + -1 = -1 18x = -1 Divide each side by '18'. x = -0.05555555556 Simplifying x = -0.05555555556

Solution

x = {-0.05555555556, -0.05555555556}

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