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Simplifying -1x2 + -8x + -19 = 0 Reorder the terms: -19 + -8x + -1x2 = 0 Solving -19 + -8x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(19 + 8x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(19 + 8x + x2)' equal to zero and attempt to solve: Simplifying 19 + 8x + x2 = 0 Solving 19 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 8x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 8x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 8x + x2 = 0 + -19 8x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 8x + x2 = -19 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 = -19 + 16 Reorder the terms: 16 + 8x + x2 = -19 + 16 Combine like terms: -19 + 16 = -3 16 + 8x + x2 = -3 Factor a perfect square on the left side: (x + 4)(x + 4) = -3 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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