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Simplifying 2x2 + 24x + 306 = 0 Reorder the terms: 306 + 24x + 2x2 = 0 Solving 306 + 24x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(153 + 12x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(153 + 12x + x2)' equal to zero and attempt to solve: Simplifying 153 + 12x + x2 = 0 Solving 153 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-153' to each side of the equation. 153 + 12x + -153 + x2 = 0 + -153 Reorder the terms: 153 + -153 + 12x + x2 = 0 + -153 Combine like terms: 153 + -153 = 0 0 + 12x + x2 = 0 + -153 12x + x2 = 0 + -153 Combine like terms: 0 + -153 = -153 12x + x2 = -153 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -153 + 36 Reorder the terms: 36 + 12x + x2 = -153 + 36 Combine like terms: -153 + 36 = -117 36 + 12x + x2 = -117 Factor a perfect square on the left side: (x + 6)(x + 6) = -117 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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