44x^2-44x+11=0

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Solution for 44x^2-44x+11=0 equation:


Simplifying
44x2 + -44x + 11 = 0

Reorder the terms:
11 + -44x + 44x2 = 0

Solving
11 + -44x + 44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11'.
11(1 + -4x + 4x2) = 0

Factor a trinomial.
11((1 + -2x)(1 + -2x)) = 0

Ignore the factor 11.

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0.5, 0.5}

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