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Simplifying 10r2 + -16r + 120 = 0 Reorder the terms: 120 + -16r + 10r2 = 0 Solving 120 + -16r + 10r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(60 + -8r + 5r2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(60 + -8r + 5r2)' equal to zero and attempt to solve: Simplifying 60 + -8r + 5r2 = 0 Solving 60 + -8r + 5r2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12 + -1.6r + r2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1.6r + -12 + r2 = 0 + -12 Reorder the terms: 12 + -12 + -1.6r + r2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1.6r + r2 = 0 + -12 -1.6r + r2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1.6r + r2 = -12 The r term is -1.6r. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6r + 0.64 + r2 = -12 + 0.64 Reorder the terms: 0.64 + -1.6r + r2 = -12 + 0.64 Combine like terms: -12 + 0.64 = -11.36 0.64 + -1.6r + r2 = -11.36 Factor a perfect square on the left side: (r + -0.8)(r + -0.8) = -11.36 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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