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Simplifying (7z)(z3 + -7z2x + 6zx2 + -1x3) = 0 Remove parenthesis around (7z) 7z(z3 + -7z2x + 6zx2 + -1x3) = 0 Reorder the terms: 7z(-7xz2 + 6x2z + -1x3 + z3) = 0 (-7xz2 * 7z + 6x2z * 7z + -1x3 * 7z + z3 * 7z) = 0 (-49xz3 + 42x2z2 + -7x3z + 7z4) = 0 Solving -49xz3 + 42x2z2 + -7x3z + 7z4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7z'. 7z(-7xz2 + 6x2z + -1x3 + z3) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z 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 '(-7xz2 + 6x2z + -1x3 + z3)' equal to zero and attempt to solve: Simplifying -7xz2 + 6x2z + -1x3 + z3 = 0 Solving -7xz2 + 6x2z + -1x3 + z3 = 0 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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