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Simplifying 4x2 + 72x + 344 = 0 Reorder the terms: 344 + 72x + 4x2 = 0 Solving 344 + 72x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(86 + 18x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(86 + 18x + x2)' equal to zero and attempt to solve: Simplifying 86 + 18x + x2 = 0 Solving 86 + 18x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-86' to each side of the equation. 86 + 18x + -86 + x2 = 0 + -86 Reorder the terms: 86 + -86 + 18x + x2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + 18x + x2 = 0 + -86 18x + x2 = 0 + -86 Combine like terms: 0 + -86 = -86 18x + x2 = -86 The x term is 18x. Take half its coefficient (9). Square it (81) and add it to both sides. Add '81' to each side of the equation. 18x + 81 + x2 = -86 + 81 Reorder the terms: 81 + 18x + x2 = -86 + 81 Combine like terms: -86 + 81 = -5 81 + 18x + x2 = -5 Factor a perfect square on the left side: (x + 9)(x + 9) = -5 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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