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Simplifying 3x2 + 30x = -120 Reorder the terms: 30x + 3x2 = -120 Solving 30x + 3x2 = -120 Solving for variable 'x'. Reorder the terms: 120 + 30x + 3x2 = -120 + 120 Combine like terms: -120 + 120 = 0 120 + 30x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(40 + 10x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(40 + 10x + x2)' equal to zero and attempt to solve: Simplifying 40 + 10x + x2 = 0 Solving 40 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 10x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + 10x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 10x + x2 = 0 + -40 10x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 10x + x2 = -40 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 = -40 + 25 Reorder the terms: 25 + 10x + x2 = -40 + 25 Combine like terms: -40 + 25 = -15 25 + 10x + x2 = -15 Factor a perfect square on the left side: (x + 5)(x + 5) = -15 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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