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Simplifying 5xy + -25xz + 35x2 = 0 Solving 5xy + -25xz + 35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(y + -5z + 7x) = 0 Ignore the factor 5.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 '(y + -5z + 7x)' equal to zero and attempt to solve: Simplifying y + -5z + 7x = 0 Reorder the terms: 7x + y + -5z = 0 Solving 7x + y + -5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y + -5z = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 + -5z = 0 + -1y 7x + -5z = 0 + -1y Remove the zero: 7x + -5z = -1y Add '5z' to each side of the equation. 7x + -5z + 5z = -1y + 5z Combine like terms: -5z + 5z = 0 7x + 0 = -1y + 5z 7x = -1y + 5z Divide each side by '7'. x = -0.1428571429y + 0.7142857143z Simplifying x = -0.1428571429y + 0.7142857143zSolution
x = {0, -0.1428571429y + 0.7142857143z}
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