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Simplifying 5(m + -2) * m + 36 = -4 Reorder the terms: 5(-2 + m) * m + 36 = -4 Reorder the terms for easier multiplication: 5m(-2 + m) + 36 = -4 (-2 * 5m + m * 5m) + 36 = -4 (-10m + 5m2) + 36 = -4 Reorder the terms: 36 + -10m + 5m2 = -4 Solving 36 + -10m + 5m2 = -4 Solving for variable 'm'. Reorder the terms: 36 + 4 + -10m + 5m2 = -4 + 4 Combine like terms: 36 + 4 = 40 40 + -10m + 5m2 = -4 + 4 Combine like terms: -4 + 4 = 0 40 + -10m + 5m2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(8 + -2m + m2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + -2m + m2)' equal to zero and attempt to solve: Simplifying 8 + -2m + m2 = 0 Solving 8 + -2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2m + -8 + m2 = 0 + -8 Reorder the terms: 8 + -8 + -2m + m2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2m + m2 = 0 + -8 -2m + m2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2m + m2 = -8 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 = -8 + 1 Reorder the terms: 1 + -2m + m2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2m + m2 = -7 Factor a perfect square on the left side: (m + -1)(m + -1) = -7 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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