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Simplifying 6x2 + -12x + 28 = 0 Reorder the terms: 28 + -12x + 6x2 = 0 Solving 28 + -12x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(14 + -6x + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -6x + 3x2)' equal to zero and attempt to solve: Simplifying 14 + -6x + 3x2 = 0 Solving 14 + -6x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4.666666667 + -2x + x2 = 0 Move the constant term to the right: Add '-4.666666667' to each side of the equation. 4.666666667 + -2x + -4.666666667 + x2 = 0 + -4.666666667 Reorder the terms: 4.666666667 + -4.666666667 + -2x + x2 = 0 + -4.666666667 Combine like terms: 4.666666667 + -4.666666667 = 0.000000000 0.000000000 + -2x + x2 = 0 + -4.666666667 -2x + x2 = 0 + -4.666666667 Combine like terms: 0 + -4.666666667 = -4.666666667 -2x + x2 = -4.666666667 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -4.666666667 + 1 Reorder the terms: 1 + -2x + x2 = -4.666666667 + 1 Combine like terms: -4.666666667 + 1 = -3.666666667 1 + -2x + x2 = -3.666666667 Factor a perfect square on the left side: (x + -1)(x + -1) = -3.666666667 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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