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Simplifying 8x(x + 7y + -2z) = 0 (x * 8x + 7y * 8x + -2z * 8x) = 0 Reorder the terms: (56xy + -16xz + 8x2) = 0 (56xy + -16xz + 8x2) = 0 Solving 56xy + -16xz + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(7y + -2z + x) = 0 Ignore the factor 8.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 '(7y + -2z + x)' equal to zero and attempt to solve: Simplifying 7y + -2z + x = 0 Reorder the terms: x + 7y + -2z = 0 Solving x + 7y + -2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. x + 7y + -7y + -2z = 0 + -7y Combine like terms: 7y + -7y = 0 x + 0 + -2z = 0 + -7y x + -2z = 0 + -7y Remove the zero: x + -2z = -7y Add '2z' to each side of the equation. x + -2z + 2z = -7y + 2z Combine like terms: -2z + 2z = 0 x + 0 = -7y + 2z x = -7y + 2z Simplifying x = -7y + 2zSolution
x = {0, -7y + 2z}
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