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Simplifying 28x2 + -18x + 72 = 0 Reorder the terms: 72 + -18x + 28x2 = 0 Solving 72 + -18x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(36 + -9x + 14x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(36 + -9x + 14x2)' equal to zero and attempt to solve: Simplifying 36 + -9x + 14x2 = 0 Solving 36 + -9x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 2.571428571 + -0.6428571429x + x2 = 0 Move the constant term to the right: Add '-2.571428571' to each side of the equation. 2.571428571 + -0.6428571429x + -2.571428571 + x2 = 0 + -2.571428571 Reorder the terms: 2.571428571 + -2.571428571 + -0.6428571429x + x2 = 0 + -2.571428571 Combine like terms: 2.571428571 + -2.571428571 = 0.000000000 0.000000000 + -0.6428571429x + x2 = 0 + -2.571428571 -0.6428571429x + x2 = 0 + -2.571428571 Combine like terms: 0 + -2.571428571 = -2.571428571 -0.6428571429x + x2 = -2.571428571 The x term is -0.6428571429x. Take half its coefficient (-0.3214285715). Square it (0.1033163266) and add it to both sides. Add '0.1033163266' to each side of the equation. -0.6428571429x + 0.1033163266 + x2 = -2.571428571 + 0.1033163266 Reorder the terms: 0.1033163266 + -0.6428571429x + x2 = -2.571428571 + 0.1033163266 Combine like terms: -2.571428571 + 0.1033163266 = -2.4681122444 0.1033163266 + -0.6428571429x + x2 = -2.4681122444 Factor a perfect square on the left side: (x + -0.3214285715)(x + -0.3214285715) = -2.4681122444 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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