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Simplifying 4x2 + 8x + 20 = -92 Reorder the terms: 20 + 8x + 4x2 = -92 Solving 20 + 8x + 4x2 = -92 Solving for variable 'x'. Reorder the terms: 20 + 92 + 8x + 4x2 = -92 + 92 Combine like terms: 20 + 92 = 112 112 + 8x + 4x2 = -92 + 92 Combine like terms: -92 + 92 = 0 112 + 8x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(28 + 2x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(28 + 2x + x2)' equal to zero and attempt to solve: Simplifying 28 + 2x + x2 = 0 Solving 28 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 2x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + 2x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 2x + x2 = 0 + -28 2x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 2x + x2 = -28 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 = -28 + 1 Reorder the terms: 1 + 2x + x2 = -28 + 1 Combine like terms: -28 + 1 = -27 1 + 2x + x2 = -27 Factor a perfect square on the left side: (x + 1)(x + 1) = -27 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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