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Simplifying 2x2 + -16x + 96 = 0 Reorder the terms: 96 + -16x + 2x2 = 0 Solving 96 + -16x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(48 + -8x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(48 + -8x + x2)' equal to zero and attempt to solve: Simplifying 48 + -8x + x2 = 0 Solving 48 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -8x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -8x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -8x + x2 = 0 + -48 -8x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -8x + x2 = -48 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 = -48 + 16 Reorder the terms: 16 + -8x + x2 = -48 + 16 Combine like terms: -48 + 16 = -32 16 + -8x + x2 = -32 Factor a perfect square on the left side: (x + -4)(x + -4) = -32 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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