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Simplifying 2x2 + -32x + 178 = 0 Reorder the terms: 178 + -32x + 2x2 = 0 Solving 178 + -32x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(89 + -16x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(89 + -16x + x2)' equal to zero and attempt to solve: Simplifying 89 + -16x + x2 = 0 Solving 89 + -16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-89' to each side of the equation. 89 + -16x + -89 + x2 = 0 + -89 Reorder the terms: 89 + -89 + -16x + x2 = 0 + -89 Combine like terms: 89 + -89 = 0 0 + -16x + x2 = 0 + -89 -16x + x2 = 0 + -89 Combine like terms: 0 + -89 = -89 -16x + x2 = -89 The x term is -16x. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16x + 64 + x2 = -89 + 64 Reorder the terms: 64 + -16x + x2 = -89 + 64 Combine like terms: -89 + 64 = -25 64 + -16x + x2 = -25 Factor a perfect square on the left side: (x + -8)(x + -8) = -25 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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