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Simplifying 24x2z4 + -113xz2 + -35 = 0 Reorder the terms: -35 + -113xz2 + 24x2z4 = 0 Solving -35 + -113xz2 + 24x2z4 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -24xz2)(5 + -1xz2) = 0Subproblem 1
Set the factor '(-7 + -24xz2)' equal to zero and attempt to solve: Simplifying -7 + -24xz2 = 0 Solving -7 + -24xz2 = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -24xz2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -24xz2 = 0 + 7 -24xz2 = 0 + 7 Combine like terms: 0 + 7 = 7 -24xz2 = 7 Divide each side by '-24z2'. x = -0.2916666667z-2 Simplifying x = -0.2916666667z-2Subproblem 2
Set the factor '(5 + -1xz2)' equal to zero and attempt to solve: Simplifying 5 + -1xz2 = 0 Solving 5 + -1xz2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1xz2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1xz2 = 0 + -5 -1xz2 = 0 + -5 Combine like terms: 0 + -5 = -5 -1xz2 = -5 Divide each side by '-1z2'. x = 5z-2 Simplifying x = 5z-2Solution
x = {-0.2916666667z-2, 5z-2}
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