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Simplifying 0 = 14xz + -18xz2 Solving 0 = 14xz + -18xz2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14xz' to each side of the equation. 0 + -14xz = 14xz + -14xz + -18xz2 Remove the zero: -14xz = 14xz + -14xz + -18xz2 Combine like terms: 14xz + -14xz = 0 -14xz = 0 + -18xz2 -14xz = -18xz2 Add '18xz2' to each side of the equation. -14xz + 18xz2 = -18xz2 + 18xz2 Combine like terms: -18xz2 + 18xz2 = 0 -14xz + 18xz2 = 0 Factor out the Greatest Common Factor (GCF), '2xz'. 2xz(-7 + 9z) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'xz' equal to zero and attempt to solve: Simplifying xz = 0 Solving xz = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xz = 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 '(-7 + 9z)' equal to zero and attempt to solve: Simplifying -7 + 9z = 0 Solving -7 + 9z = 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 + 9z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9z = 0 + 7 9z = 0 + 7 Combine like terms: 0 + 7 = 7 9z = 7 Add '-9z' to each side of the equation. 9z + -9z = 7 + -9z Combine like terms: 9z + -9z = 0 0 = 7 + -9z Simplifying 0 = 7 + -9z 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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