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Simplifying 15x2 + 135x + 330 = 0 Reorder the terms: 330 + 135x + 15x2 = 0 Solving 330 + 135x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15'. 15(22 + 9x + x2) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(22 + 9x + x2)' equal to zero and attempt to solve: Simplifying 22 + 9x + x2 = 0 Solving 22 + 9x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 9x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 9x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9x + x2 = 0 + -22 9x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 9x + x2 = -22 The x term is 9x. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9x + 20.25 + x2 = -22 + 20.25 Reorder the terms: 20.25 + 9x + x2 = -22 + 20.25 Combine like terms: -22 + 20.25 = -1.75 20.25 + 9x + x2 = -1.75 Factor a perfect square on the left side: (x + 4.5)(x + 4.5) = -1.75 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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