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Simplifying 8x + -4x2 + -12x + -32 = 0 Reorder the terms: -32 + 8x + -12x + -4x2 = 0 Combine like terms: 8x + -12x = -4x -32 + -4x + -4x2 = 0 Solving -32 + -4x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(8 + x + x2) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(8 + x + x2)' equal to zero and attempt to solve: Simplifying 8 + x + x2 = 0 Solving 8 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x + x2 = 0 + -8 x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x + x2 = -8 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -8 + 0.25 Reorder the terms: 0.25 + x + x2 = -8 + 0.25 Combine like terms: -8 + 0.25 = -7.75 0.25 + x + x2 = -7.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -7.75 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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