2z^2-8z+32=0

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Solution for 2z^2-8z+32=0 equation:


Simplifying
2z2 + -8z + 32 = 0

Reorder the terms:
32 + -8z + 2z2 = 0

Solving
32 + -8z + 2z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -4z + z2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(16 + -4z + z2)' equal to zero and attempt to solve: Simplifying 16 + -4z + z2 = 0 Solving 16 + -4z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -4z + -16 + z2 = 0 + -16 Reorder the terms: 16 + -16 + -4z + z2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4z + z2 = 0 + -16 -4z + z2 = 0 + -16 Combine like terms: 0 + -16 = -16 -4z + z2 = -16 The z term is -4z. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4z + 4 + z2 = -16 + 4 Reorder the terms: 4 + -4z + z2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + -4z + z2 = -12 Factor a perfect square on the left side: (z + -2)(z + -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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