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Simplifying 2X3 = 72X Solving 2X3 = 72X Solving for variable 'X'. Reorder the terms: -72X + 2X3 = 72X + -72X Combine like terms: 72X + -72X = 0 -72X + 2X3 = 0 Factor out the Greatest Common Factor (GCF), '2X'. 2X(-36 + X2) = 0 Factor a difference between two squares. 2X((6 + X)(-6 + X)) = 0 Ignore the factor 2.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 '(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 = -6Subproblem 3
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, 6}
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