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Simplifying (-2x4) + (-16x2) + -48 = 0 Reorder the terms: -48 + (-16x2) + (-2x4) = 0 Solving -48 + (-16x2) + (-2x4) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(24 + (8x2) + x4) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(24 + (8x2) + x4)' equal to zero and attempt to solve: Simplifying 24 + (8x2) + x4 = 0 Solving 24 + (8x2) + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + (8x2) + -24 + x4 = 0 + -24 Reorder the terms: 24 + -24 + (8x2) + x4 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + (8x2) + x4 = 0 + -24 (8x2) + x4 = 0 + -24 Combine like terms: 0 + -24 = -24 (8x2) + x4 = -24 The x term is (8x2). Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. (8x2) + 16 + x4 = -24 + 16 Reorder the terms: 16 + (8x2) + x4 = -24 + 16 Combine like terms: -24 + 16 = -8 16 + (8x2) + x4 = -8 Factor a perfect square on the left side: (x2 + 4)(x2 + 4) = -8 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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