zx^2=-4

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Solution for zx^2=-4 equation:


Simplifying
zx2 = -4

Solving
x2z = -4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by 'z'.
x2 = -4z-1

Simplifying
x2 = -4z-1

Combine like terms: -4z-1 + 4z-1 = 0
x2 + 4z-1 = 0

Factor out the Greatest Common Factor (GCF), 'z-1'.
z-1(x2z + 4) = 0

Subproblem 1

Set the factor 'z-1' equal to zero and attempt to solve: Simplifying z-1 = 0 Solving z-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z-1' to each side of the equation. z-1 + -1z-1 = 0 + -1z-1 Remove the zero: 0 = -1z-1 Simplifying 0 = -1z-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x2z + 4)' equal to zero and attempt to solve: Simplifying x2z + 4 = 0 Reorder the terms: 4 + x2z = 0 Solving 4 + x2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x2z = 0 + -4 x2z = 0 + -4 Combine like terms: 0 + -4 = -4 x2z = -4 Divide each side by 'z'. x2 = -4z-1 Simplifying x2 = -4z-1 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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