12x^2-78x+720=0

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Solution for 12x^2-78x+720=0 equation:


Simplifying
12x2 + -78x + 720 = 0

Reorder the terms:
720 + -78x + 12x2 = 0

Solving
720 + -78x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(120 + -13x + 2x2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(120 + -13x + 2x2)' equal to zero and attempt to solve: Simplifying 120 + -13x + 2x2 = 0 Solving 120 + -13x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 60 + -6.5x + x2 = 0 Move the constant term to the right: Add '-60' to each side of the equation. 60 + -6.5x + -60 + x2 = 0 + -60 Reorder the terms: 60 + -60 + -6.5x + x2 = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -6.5x + x2 = 0 + -60 -6.5x + x2 = 0 + -60 Combine like terms: 0 + -60 = -60 -6.5x + x2 = -60 The x term is -6.5x. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5x + 10.5625 + x2 = -60 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -60 + 10.5625 Combine like terms: -60 + 10.5625 = -49.4375 10.5625 + -6.5x + x2 = -49.4375 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = -49.4375 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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