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Simplifying 2x2 + 8x = -32 Reorder the terms: 8x + 2x2 = -32 Solving 8x + 2x2 = -32 Solving for variable 'x'. Reorder the terms: 32 + 8x + 2x2 = -32 + 32 Combine like terms: -32 + 32 = 0 32 + 8x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 4x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(16 + 4x + x2)' equal to zero and attempt to solve: Simplifying 16 + 4x + x2 = 0 Solving 16 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 4x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 4x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4x + x2 = 0 + -16 4x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 4x + x2 = -16 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 = -16 + 4 Reorder the terms: 4 + 4x + x2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + 4x + x2 = -12 Factor a perfect square on the left side: (x + 2)(x + 2) = -12 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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