9x^2-48x+96=0

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Solution for 9x^2-48x+96=0 equation:


Simplifying
9x2 + -48x + 96 = 0

Reorder the terms:
96 + -48x + 9x2 = 0

Solving
96 + -48x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(32 + -16x + 3x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(32 + -16x + 3x2)' equal to zero and attempt to solve: Simplifying 32 + -16x + 3x2 = 0 Solving 32 + -16x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 10.66666667 + -5.333333333x + x2 = 0 Move the constant term to the right: Add '-10.66666667' to each side of the equation. 10.66666667 + -5.333333333x + -10.66666667 + x2 = 0 + -10.66666667 Reorder the terms: 10.66666667 + -10.66666667 + -5.333333333x + x2 = 0 + -10.66666667 Combine like terms: 10.66666667 + -10.66666667 = 0.00000000 0.00000000 + -5.333333333x + x2 = 0 + -10.66666667 -5.333333333x + x2 = 0 + -10.66666667 Combine like terms: 0 + -10.66666667 = -10.66666667 -5.333333333x + x2 = -10.66666667 The x term is -5.333333333x. Take half its coefficient (-2.666666667). Square it (7.111111113) and add it to both sides. Add '7.111111113' to each side of the equation. -5.333333333x + 7.111111113 + x2 = -10.66666667 + 7.111111113 Reorder the terms: 7.111111113 + -5.333333333x + x2 = -10.66666667 + 7.111111113 Combine like terms: -10.66666667 + 7.111111113 = -3.555555557 7.111111113 + -5.333333333x + x2 = -3.555555557 Factor a perfect square on the left side: (x + -2.666666667)(x + -2.666666667) = -3.555555557 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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