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Simplifying 0 = zx2 + -1x + 6 Reorder the terms: 0 = 6 + -1x + x2z Solving 0 = 6 + -1x + x2z Solving for variable 'x'. Combine like terms: 0 + -6 = -6 -6 + x + -1x2z = 6 + -1x + x2z + -6 + x + -1x2z Reorder the terms: -6 + x + -1x2z = 6 + -6 + -1x + x + x2z + -1x2z Combine like terms: 6 + -6 = 0 -6 + x + -1x2z = 0 + -1x + x + x2z + -1x2z -6 + x + -1x2z = -1x + x + x2z + -1x2z Combine like terms: -1x + x = 0 -6 + x + -1x2z = 0 + x2z + -1x2z -6 + x + -1x2z = x2z + -1x2z Combine like terms: x2z + -1x2z = 0 -6 + x + -1x2z = 0 Begin completing the square. Divide all terms by -1z the coefficient of the squared term: Divide each side by '-1z'. 6z-1 + -1xz-1 + x2 = 0z-1 Move the constant term to the right: Add '-6' to each side of the equation. 6z-1 + -1xz-1 + -6 + x2 = -6 + 0z-1 Reorder the terms: -6 + -1xz-1 + x2 + 6z-1 = -6 + 0z-1 Combine like terms: -6 + 0 = -6 -6 + -1xz-1 + x2 + 6z-1 = -6 The x term is xz-1. Take half its coefficient (0.5z-1). Square it (0.25z-2) and add it to both sides. Add '0.25z-2' to each side of the equation. -6 + -1xz-1 + x2 + 0.25z-2 + 6z-1 = -6 + 0.25z-2 Factor a perfect square on the left side: (x + 0.5z-1)(x + 0.5z-1) = -6 + 0.25z-2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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