100x^2+220x+121=0

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Solution for 100x^2+220x+121=0 equation:


Simplifying
100x2 + 220x + 121 = 0

Reorder the terms:
121 + 220x + 100x2 = 0

Solving
121 + 220x + 100x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 10x)(11 + 10x) = 0

Subproblem 1

Set the factor '(11 + 10x)' equal to zero and attempt to solve: Simplifying 11 + 10x = 0 Solving 11 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 0 + -11 10x = 0 + -11 Combine like terms: 0 + -11 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1

Subproblem 2

Set the factor '(11 + 10x)' equal to zero and attempt to solve: Simplifying 11 + 10x = 0 Solving 11 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 0 + -11 10x = 0 + -11 Combine like terms: 0 + -11 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1

Solution

x = {-1.1, -1.1}

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