25x^2+110x+121=0

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Solution for 25x^2+110x+121=0 equation:


Simplifying
25x2 + 110x + 121 = 0

Reorder the terms:
121 + 110x + 25x2 = 0

Solving
121 + 110x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 5x)(11 + 5x) = 0

Subproblem 1

Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 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 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2

Subproblem 2

Set the factor '(11 + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5x = 0 Solving 11 + 5x = 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 + 5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 0 + -11 5x = 0 + -11 Combine like terms: 0 + -11 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2

Solution

x = {-2.2, -2.2}

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