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Simplifying 4x2 + -32x + 116 = 0 Reorder the terms: 116 + -32x + 4x2 = 0 Solving 116 + -32x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(29 + -8x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(29 + -8x + x2)' equal to zero and attempt to solve: Simplifying 29 + -8x + x2 = 0 Solving 29 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + -8x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -8x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -8x + x2 = 0 + -29 -8x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -8x + x2 = -29 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 = -29 + 16 Reorder the terms: 16 + -8x + x2 = -29 + 16 Combine like terms: -29 + 16 = -13 16 + -8x + x2 = -13 Factor a perfect square on the left side: (x + -4)(x + -4) = -13 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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