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Simplifying 2x2 + 24x + 304 = 0 Reorder the terms: 304 + 24x + 2x2 = 0 Solving 304 + 24x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(152 + 12x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(152 + 12x + x2)' equal to zero and attempt to solve: Simplifying 152 + 12x + x2 = 0 Solving 152 + 12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-152' to each side of the equation. 152 + 12x + -152 + x2 = 0 + -152 Reorder the terms: 152 + -152 + 12x + x2 = 0 + -152 Combine like terms: 152 + -152 = 0 0 + 12x + x2 = 0 + -152 12x + x2 = 0 + -152 Combine like terms: 0 + -152 = -152 12x + x2 = -152 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 = -152 + 36 Reorder the terms: 36 + 12x + x2 = -152 + 36 Combine like terms: -152 + 36 = -116 36 + 12x + x2 = -116 Factor a perfect square on the left side: (x + 6)(x + 6) = -116 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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