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Simplifying 16(x2 + 11x + 36) = 0 Reorder the terms: 16(36 + 11x + x2) = 0 (36 * 16 + 11x * 16 + x2 * 16) = 0 (576 + 176x + 16x2) = 0 Solving 576 + 176x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(36 + 11x + x2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(36 + 11x + x2)' equal to zero and attempt to solve: Simplifying 36 + 11x + x2 = 0 Solving 36 + 11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + 11x + -36 + x2 = 0 + -36 Reorder the terms: 36 + -36 + 11x + x2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 11x + x2 = 0 + -36 11x + x2 = 0 + -36 Combine like terms: 0 + -36 = -36 11x + x2 = -36 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = -36 + 30.25 Reorder the terms: 30.25 + 11x + x2 = -36 + 30.25 Combine like terms: -36 + 30.25 = -5.75 30.25 + 11x + x2 = -5.75 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = -5.75 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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