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Simplifying 36x2 + -60x + 28 = 0 Reorder the terms: 28 + -60x + 36x2 = 0 Solving 28 + -60x + 36x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -15x + 9x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -15x + 9x2)' equal to zero and attempt to solve: Simplifying 7 + -15x + 9x2 = 0 Solving 7 + -15x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.7777777778 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -1.666666667x + -0.7777777778 + x2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -1.666666667x + x2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -1.666666667x + x2 = 0 + -0.7777777778 -1.666666667x + x2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -1.666666667x + x2 = -0.7777777778 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -0.7777777778 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -0.7777777778 + 0.6944444447 Combine like terms: -0.7777777778 + 0.6944444447 = -0.0833333331 0.6944444447 + -1.666666667x + x2 = -0.0833333331 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -0.0833333331 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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