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Simplifying 2x2 + 16x + 42 = 0 Reorder the terms: 42 + 16x + 2x2 = 0 Solving 42 + 16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(21 + 8x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(21 + 8x + x2)' equal to zero and attempt to solve: Simplifying 21 + 8x + x2 = 0 Solving 21 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 8x + -21 + x2 = 0 + -21 Reorder the terms: 21 + -21 + 8x + x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 8x + x2 = 0 + -21 8x + x2 = 0 + -21 Combine like terms: 0 + -21 = -21 8x + x2 = -21 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -21 + 16 Reorder the terms: 16 + 8x + x2 = -21 + 16 Combine like terms: -21 + 16 = -5 16 + 8x + x2 = -5 Factor a perfect square on the left side: (x + 4)(x + 4) = -5 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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