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Simplifying 3x2y2 + -12x3y2 + 15x2y2z2 = 0 Reorder the terms: 3x2y2 + 15x2y2z2 + -12x3y2 = 0 Solving 3x2y2 + 15x2y2z2 + -12x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2y2'. 3x2y2(1 + 5z2 + -4x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 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 '(1 + 5z2 + -4x)' equal to zero and attempt to solve: Simplifying 1 + 5z2 + -4x = 0 Reorder the terms: 1 + -4x + 5z2 = 0 Solving 1 + -4x + 5z2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4x + -1 + 5z2 = 0 + -1 Reorder the terms: 1 + -1 + -4x + 5z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x + 5z2 = 0 + -1 -4x + 5z2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x + 5z2 = -1 Add '-5z2' to each side of the equation. -4x + 5z2 + -5z2 = -1 + -5z2 Combine like terms: 5z2 + -5z2 = 0 -4x + 0 = -1 + -5z2 -4x = -1 + -5z2 Divide each side by '-4'. x = 0.25 + 1.25z2 Simplifying x = 0.25 + 1.25z2Solution
x = {0.25 + 1.25z2}
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