34x-44x^2-78=0

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Solution for 34x-44x^2-78=0 equation:


Simplifying
34x + -44x2 + -78 = 0

Reorder the terms:
-78 + 34x + -44x2 = 0

Solving
-78 + 34x + -44x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-39 + 17x + -22x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-39 + 17x + -22x2)' equal to zero and attempt to solve: Simplifying -39 + 17x + -22x2 = 0 Solving -39 + 17x + -22x2 = 0 Begin completing the square. Divide all terms by -22 the coefficient of the squared term: Divide each side by '-22'. 1.772727273 + -0.7727272727x + x2 = 0 Move the constant term to the right: Add '-1.772727273' to each side of the equation. 1.772727273 + -0.7727272727x + -1.772727273 + x2 = 0 + -1.772727273 Reorder the terms: 1.772727273 + -1.772727273 + -0.7727272727x + x2 = 0 + -1.772727273 Combine like terms: 1.772727273 + -1.772727273 = 0.000000000 0.000000000 + -0.7727272727x + x2 = 0 + -1.772727273 -0.7727272727x + x2 = 0 + -1.772727273 Combine like terms: 0 + -1.772727273 = -1.772727273 -0.7727272727x + x2 = -1.772727273 The x term is -0.7727272727x. Take half its coefficient (-0.3863636364). Square it (0.1492768595) and add it to both sides. Add '0.1492768595' to each side of the equation. -0.7727272727x + 0.1492768595 + x2 = -1.772727273 + 0.1492768595 Reorder the terms: 0.1492768595 + -0.7727272727x + x2 = -1.772727273 + 0.1492768595 Combine like terms: -1.772727273 + 0.1492768595 = -1.6234504135 0.1492768595 + -0.7727272727x + x2 = -1.6234504135 Factor a perfect square on the left side: (x + -0.3863636364)(x + -0.3863636364) = -1.6234504135 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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