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Simplifying 0 = 3x2 + -1x3 Solving 0 = 3x2 + -1x3 Solving for variable 'x'. Remove the zero: -3x2 + x3 = 3x2 + -1x3 + -3x2 + x3 Reorder the terms: -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3 Combine like terms: 3x2 + -3x2 = 0 -3x2 + x3 = 0 + -1x3 + x3 -3x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -3x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-3 + x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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