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Simplifying 7x(4y + -9z) = 0 (4y * 7x + -9z * 7x) = 0 (28xy + -63xz) = 0 Solving 28xy + -63xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7x'. 7x(4y + -9z) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(4y + -9z)' equal to zero and attempt to solve: Simplifying 4y + -9z = 0 Solving 4y + -9z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 4y + -4y + -9z = 0 + -4y Combine like terms: 4y + -4y = 0 0 + -9z = 0 + -4y -9z = 0 + -4y Remove the zero: -9z = -4y Add '9z' to each side of the equation. -9z + 9z = -4y + 9z Combine like terms: -9z + 9z = 0 0 = -4y + 9z Simplifying 0 = -4y + 9z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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