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Simplifying 2x + (-3x2) = x Solving 2x + (-3x2) = x Solving for variable 'x'. Reorder the terms: 2x + -1x + (-3x2) = x + -1x Combine like terms: 2x + -1x = 1x 1x + (-3x2) = x + -1x Combine like terms: x + -1x = 0 1x + (-3x2) = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + (-3x)) = 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 '(1 + (-3x))' equal to zero and attempt to solve: Simplifying 1 + (-3x) = 0 Solving 1 + (-3x) = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + (-3x) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (-3x) = 0 + -1 (-3x) = 0 + -1 Combine like terms: 0 + -1 = -1 (-3x) = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0, 0.3333333333}
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