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Simplifying 16x2 + 44x + 36 = 0 Reorder the terms: 36 + 44x + 16x2 = 0 Solving 36 + 44x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 11x + 4x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + 11x + 4x2)' equal to zero and attempt to solve: Simplifying 9 + 11x + 4x2 = 0 Solving 9 + 11x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + 2.75x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 2.75x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 2.75x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 2.75x + x2 = 0 + -2.25 2.75x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 2.75x + x2 = -2.25 The x term is 2.75x. Take half its coefficient (1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. 2.75x + 1.890625 + x2 = -2.25 + 1.890625 Reorder the terms: 1.890625 + 2.75x + x2 = -2.25 + 1.890625 Combine like terms: -2.25 + 1.890625 = -0.359375 1.890625 + 2.75x + x2 = -0.359375 Factor a perfect square on the left side: (x + 1.375)(x + 1.375) = -0.359375 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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