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Simplifying -192 + -4x + -1x2 = 0 Solving -192 + -4x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(192 + 4x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(192 + 4x + x2)' equal to zero and attempt to solve: Simplifying 192 + 4x + x2 = 0 Solving 192 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-192' to each side of the equation. 192 + 4x + -192 + x2 = 0 + -192 Reorder the terms: 192 + -192 + 4x + x2 = 0 + -192 Combine like terms: 192 + -192 = 0 0 + 4x + x2 = 0 + -192 4x + x2 = 0 + -192 Combine like terms: 0 + -192 = -192 4x + x2 = -192 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -192 + 4 Reorder the terms: 4 + 4x + x2 = -192 + 4 Combine like terms: -192 + 4 = -188 4 + 4x + x2 = -188 Factor a perfect square on the left side: (x + 2)(x + 2) = -188 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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