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Simplifying 5x2 + -3xy + 7xz = 0 Reorder the terms: -3xy + 7xz + 5x2 = 0 Solving -3xy + 7xz + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3y + 7z + 5x) = 0Subproblem 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 '(-3y + 7z + 5x)' equal to zero and attempt to solve: Simplifying -3y + 7z + 5x = 0 Reorder the terms: 5x + -3y + 7z = 0 Solving 5x + -3y + 7z = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x + -3y + 3y + 7z = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + 7z = 0 + 3y 5x + 7z = 0 + 3y Remove the zero: 5x + 7z = 3y Add '-7z' to each side of the equation. 5x + 7z + -7z = 3y + -7z Combine like terms: 7z + -7z = 0 5x + 0 = 3y + -7z 5x = 3y + -7z Divide each side by '5'. x = 0.6y + -1.4z Simplifying x = 0.6y + -1.4zSolution
x = {0, 0.6y + -1.4z}
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