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Simplifying 3m + -1(m + 5) * m = 20 Reorder the terms: 3m + -1(5 + m) * m = 20 Reorder the terms for easier multiplication: 3m + -1m(5 + m) = 20 3m + (5 * -1m + m * -1m) = 20 3m + (-5m + -1m2) = 20 Combine like terms: 3m + -5m = -2m -2m + -1m2 = 20 Solving -2m + -1m2 = 20 Solving for variable 'm'. Reorder the terms: -20 + -2m + -1m2 = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -2m + -1m2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(20 + 2m + m2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(20 + 2m + m2)' equal to zero and attempt to solve: Simplifying 20 + 2m + m2 = 0 Solving 20 + 2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 2m + -20 + m2 = 0 + -20 Reorder the terms: 20 + -20 + 2m + m2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2m + m2 = 0 + -20 2m + m2 = 0 + -20 Combine like terms: 0 + -20 = -20 2m + m2 = -20 The m term is 2m. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m + 1 + m2 = -20 + 1 Reorder the terms: 1 + 2m + m2 = -20 + 1 Combine like terms: -20 + 1 = -19 1 + 2m + m2 = -19 Factor a perfect square on the left side: (m + 1)(m + 1) = -19 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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