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Simplifying (6x2) + 12x + 156 = 0 Reorder the terms: 156 + 12x + (6x2) = 0 Solving 156 + 12x + (6x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(26 + 2x + x2) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(26 + 2x + x2)' equal to zero and attempt to solve: Simplifying 26 + 2x + x2 = 0 Solving 26 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 2x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + 2x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 2x + x2 = 0 + -26 2x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 2x + x2 = -26 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -26 + 1 Reorder the terms: 1 + 2x + x2 = -26 + 1 Combine like terms: -26 + 1 = -25 1 + 2x + x2 = -25 Factor a perfect square on the left side: (x + 1)(x + 1) = -25 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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