6x^2-60x+296=0

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Solution for 6x^2-60x+296=0 equation:


Simplifying
6x2 + -60x + 296 = 0

Reorder the terms:
296 + -60x + 6x2 = 0

Solving
296 + -60x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(148 + -30x + 3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(148 + -30x + 3x2)' equal to zero and attempt to solve: Simplifying 148 + -30x + 3x2 = 0 Solving 148 + -30x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 49.33333333 + -10x + x2 = 0 Move the constant term to the right: Add '-49.33333333' to each side of the equation. 49.33333333 + -10x + -49.33333333 + x2 = 0 + -49.33333333 Reorder the terms: 49.33333333 + -49.33333333 + -10x + x2 = 0 + -49.33333333 Combine like terms: 49.33333333 + -49.33333333 = 0.00000000 0.00000000 + -10x + x2 = 0 + -49.33333333 -10x + x2 = 0 + -49.33333333 Combine like terms: 0 + -49.33333333 = -49.33333333 -10x + x2 = -49.33333333 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -49.33333333 + 25 Reorder the terms: 25 + -10x + x2 = -49.33333333 + 25 Combine like terms: -49.33333333 + 25 = -24.33333333 25 + -10x + x2 = -24.33333333 Factor a perfect square on the left side: (x + -5)(x + -5) = -24.33333333 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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