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Simplifying 12x2 = 56x + -96 Reorder the terms: 12x2 = -96 + 56x Solving 12x2 = -96 + 56x Solving for variable 'x'. Reorder the terms: 96 + -56x + 12x2 = -96 + 56x + 96 + -56x Reorder the terms: 96 + -56x + 12x2 = -96 + 96 + 56x + -56x Combine like terms: -96 + 96 = 0 96 + -56x + 12x2 = 0 + 56x + -56x 96 + -56x + 12x2 = 56x + -56x Combine like terms: 56x + -56x = 0 96 + -56x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(24 + -14x + 3x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(24 + -14x + 3x2)' equal to zero and attempt to solve: Simplifying 24 + -14x + 3x2 = 0 Solving 24 + -14x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 8 + -4.666666667x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4.666666667x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -4.666666667x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4.666666667x + x2 = 0 + -8 -4.666666667x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -4.666666667x + x2 = -8 The x term is -4.666666667x. Take half its coefficient (-2.333333334). Square it (5.444444448) and add it to both sides. Add '5.444444448' to each side of the equation. -4.666666667x + 5.444444448 + x2 = -8 + 5.444444448 Reorder the terms: 5.444444448 + -4.666666667x + x2 = -8 + 5.444444448 Combine like terms: -8 + 5.444444448 = -2.555555552 5.444444448 + -4.666666667x + x2 = -2.555555552 Factor a perfect square on the left side: (x + -2.333333334)(x + -2.333333334) = -2.555555552 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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