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Simplifying 4z6 + 7z3 + -36 = 0 Reorder the terms: -36 + 7z3 + 4z6 = 0 Solving -36 + 7z3 + 4z6 = 0 Solving for variable 'z'. Factor a trinomial. (-4 + -1z3)(9 + -4z3) = 0Subproblem 1
Set the factor '(-4 + -1z3)' equal to zero and attempt to solve: Simplifying -4 + -1z3 = 0 Solving -4 + -1z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1z3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1z3 = 0 + 4 -1z3 = 0 + 4 Combine like terms: 0 + 4 = 4 -1z3 = 4 Divide each side by '-1'. z3 = -4 Simplifying z3 = -4 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 '(9 + -4z3)' equal to zero and attempt to solve: Simplifying 9 + -4z3 = 0 Solving 9 + -4z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4z3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4z3 = 0 + -9 -4z3 = 0 + -9 Combine like terms: 0 + -9 = -9 -4z3 = -9 Divide each side by '-4'. z3 = 2.25 Simplifying z3 = 2.25 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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