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Simplifying 5X2 + 15X + 75 = 0 Reorder the terms: 75 + 15X + 5X2 = 0 Solving 75 + 15X + 5X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '5'. 5(15 + 3X + X2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(15 + 3X + X2)' equal to zero and attempt to solve: Simplifying 15 + 3X + X2 = 0 Solving 15 + 3X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 3X + -15 + X2 = 0 + -15 Reorder the terms: 15 + -15 + 3X + X2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3X + X2 = 0 + -15 3X + X2 = 0 + -15 Combine like terms: 0 + -15 = -15 3X + X2 = -15 The X term is 3X. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3X + 2.25 + X2 = -15 + 2.25 Reorder the terms: 2.25 + 3X + X2 = -15 + 2.25 Combine like terms: -15 + 2.25 = -12.75 2.25 + 3X + X2 = -12.75 Factor a perfect square on the left side: (X + 1.5)(X + 1.5) = -12.75 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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