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Simplifying 3x2 + 30x + 102 = 0 Reorder the terms: 102 + 30x + 3x2 = 0 Solving 102 + 30x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(34 + 10x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(34 + 10x + x2)' equal to zero and attempt to solve: Simplifying 34 + 10x + x2 = 0 Solving 34 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + 10x + -34 + x2 = 0 + -34 Reorder the terms: 34 + -34 + 10x + x2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 10x + x2 = 0 + -34 10x + x2 = 0 + -34 Combine like terms: 0 + -34 = -34 10x + x2 = -34 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -34 + 25 Reorder the terms: 25 + 10x + x2 = -34 + 25 Combine like terms: -34 + 25 = -9 25 + 10x + x2 = -9 Factor a perfect square on the left side: (x + 5)(x + 5) = -9 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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