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Simplifying 4(m2 + 10m + 33) = 0 Reorder the terms: 4(33 + 10m + m2) = 0 (33 * 4 + 10m * 4 + m2 * 4) = 0 (132 + 40m + 4m2) = 0 Solving 132 + 40m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4'. 4(33 + 10m + m2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(33 + 10m + m2)' equal to zero and attempt to solve: Simplifying 33 + 10m + m2 = 0 Solving 33 + 10m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + 10m + -33 + m2 = 0 + -33 Reorder the terms: 33 + -33 + 10m + m2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 10m + m2 = 0 + -33 10m + m2 = 0 + -33 Combine like terms: 0 + -33 = -33 10m + m2 = -33 The m term is 10m. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10m + 25 + m2 = -33 + 25 Reorder the terms: 25 + 10m + m2 = -33 + 25 Combine like terms: -33 + 25 = -8 25 + 10m + m2 = -8 Factor a perfect square on the left side: (m + 5)(m + 5) = -8 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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