18x^2-56x+56=0

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Solution for 18x^2-56x+56=0 equation:


Simplifying
18x2 + -56x + 56 = 0

Reorder the terms:
56 + -56x + 18x2 = 0

Solving
56 + -56x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + -28x + 9x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(28 + -28x + 9x2)' equal to zero and attempt to solve: Simplifying 28 + -28x + 9x2 = 0 Solving 28 + -28x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.111111111 + -3.111111111x + x2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + -3.111111111x + -3.111111111 + x2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + -3.111111111x + x2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + -3.111111111x + x2 = 0 + -3.111111111 -3.111111111x + x2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 -3.111111111x + x2 = -3.111111111 The x term is -3.111111111x. Take half its coefficient (-1.555555556). Square it (2.419753088) and add it to both sides. Add '2.419753088' to each side of the equation. -3.111111111x + 2.419753088 + x2 = -3.111111111 + 2.419753088 Reorder the terms: 2.419753088 + -3.111111111x + x2 = -3.111111111 + 2.419753088 Combine like terms: -3.111111111 + 2.419753088 = -0.691358023 2.419753088 + -3.111111111x + x2 = -0.691358023 Factor a perfect square on the left side: (x + -1.555555556)(x + -1.555555556) = -0.691358023 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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