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Simplifying 4x2 + 40x + 104 = 0 Reorder the terms: 104 + 40x + 4x2 = 0 Solving 104 + 40x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(26 + 10x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(26 + 10x + x2)' equal to zero and attempt to solve: Simplifying 26 + 10x + x2 = 0 Solving 26 + 10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 10x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + 10x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 10x + x2 = 0 + -26 10x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 10x + x2 = -26 The x term is 10x. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10x + 25 + x2 = -26 + 25 Reorder the terms: 25 + 10x + x2 = -26 + 25 Combine like terms: -26 + 25 = -1 25 + 10x + x2 = -1 Factor a perfect square on the left side: (x + 5)(x + 5) = -1 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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