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Simplifying 0 = -1X2 + -6X Reorder the terms: 0 = -6X + -1X2 Solving 0 = -6X + -1X2 Solving for variable 'X'. Remove the zero: 6X + X2 = -6X + -1X2 + 6X + X2 Reorder the terms: 6X + X2 = -6X + 6X + -1X2 + X2 Combine like terms: -6X + 6X = 0 6X + X2 = 0 + -1X2 + X2 6X + X2 = -1X2 + X2 Combine like terms: -1X2 + X2 = 0 6X + X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(6 + X) = 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 '(6 + X)' equal to zero and attempt to solve: Simplifying 6 + X = 0 Solving 6 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + X = 0 + -6 X = 0 + -6 Combine like terms: 0 + -6 = -6 X = -6 Simplifying X = -6Solution
X = {0, -6}
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