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Simplifying 10r2 + 40r + 240 = 0 Reorder the terms: 240 + 40r + 10r2 = 0 Solving 240 + 40r + 10r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '10'. 10(24 + 4r + r2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(24 + 4r + r2)' equal to zero and attempt to solve: Simplifying 24 + 4r + r2 = 0 Solving 24 + 4r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + 4r + -24 + r2 = 0 + -24 Reorder the terms: 24 + -24 + 4r + r2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 4r + r2 = 0 + -24 4r + r2 = 0 + -24 Combine like terms: 0 + -24 = -24 4r + r2 = -24 The r term is 4r. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4r + 4 + r2 = -24 + 4 Reorder the terms: 4 + 4r + r2 = -24 + 4 Combine like terms: -24 + 4 = -20 4 + 4r + r2 = -20 Factor a perfect square on the left side: (r + 2)(r + 2) = -20 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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