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Simplifying 10x2 + -44x + 60 = 0 Reorder the terms: 60 + -44x + 10x2 = 0 Solving 60 + -44x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(30 + -22x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + -22x + 5x2)' equal to zero and attempt to solve: Simplifying 30 + -22x + 5x2 = 0 Solving 30 + -22x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6 + -4.4x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4.4x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -4.4x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4.4x + x2 = 0 + -6 -4.4x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4.4x + x2 = -6 The x term is -4.4x. Take half its coefficient (-2.2). Square it (4.84) and add it to both sides. Add '4.84' to each side of the equation. -4.4x + 4.84 + x2 = -6 + 4.84 Reorder the terms: 4.84 + -4.4x + x2 = -6 + 4.84 Combine like terms: -6 + 4.84 = -1.16 4.84 + -4.4x + x2 = -1.16 Factor a perfect square on the left side: (x + -2.2)(x + -2.2) = -1.16 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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