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Simplifying 9x2 + 36x = -39 Reorder the terms: 36x + 9x2 = -39 Solving 36x + 9x2 = -39 Solving for variable 'x'. Reorder the terms: 39 + 36x + 9x2 = -39 + 39 Combine like terms: -39 + 39 = 0 39 + 36x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(13 + 12x + 3x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(13 + 12x + 3x2)' equal to zero and attempt to solve: Simplifying 13 + 12x + 3x2 = 0 Solving 13 + 12x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 4.333333333 + 4x + x2 = 0 Move the constant term to the right: Add '-4.333333333' to each side of the equation. 4.333333333 + 4x + -4.333333333 + x2 = 0 + -4.333333333 Reorder the terms: 4.333333333 + -4.333333333 + 4x + x2 = 0 + -4.333333333 Combine like terms: 4.333333333 + -4.333333333 = 0.000000000 0.000000000 + 4x + x2 = 0 + -4.333333333 4x + x2 = 0 + -4.333333333 Combine like terms: 0 + -4.333333333 = -4.333333333 4x + x2 = -4.333333333 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 = -4.333333333 + 4 Reorder the terms: 4 + 4x + x2 = -4.333333333 + 4 Combine like terms: -4.333333333 + 4 = -0.333333333 4 + 4x + x2 = -0.333333333 Factor a perfect square on the left side: (x + 2)(x + 2) = -0.333333333 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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