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Simplifying 3x2 + 12x + 81 = 15 Reorder the terms: 81 + 12x + 3x2 = 15 Solving 81 + 12x + 3x2 = 15 Solving for variable 'x'. Reorder the terms: 81 + -15 + 12x + 3x2 = 15 + -15 Combine like terms: 81 + -15 = 66 66 + 12x + 3x2 = 15 + -15 Combine like terms: 15 + -15 = 0 66 + 12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(22 + 4x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(22 + 4x + x2)' equal to zero and attempt to solve: Simplifying 22 + 4x + x2 = 0 Solving 22 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + 4x + -22 + x2 = 0 + -22 Reorder the terms: 22 + -22 + 4x + x2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 4x + x2 = 0 + -22 4x + x2 = 0 + -22 Combine like terms: 0 + -22 = -22 4x + x2 = -22 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -22 + 4 Reorder the terms: 4 + 4x + x2 = -22 + 4 Combine like terms: -22 + 4 = -18 4 + 4x + x2 = -18 Factor a perfect square on the left side: (x + 2)(x + 2) = -18 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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