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Simplifying (2x3 + -1x2) + -1(3x3 + -2x2) = 0 Reorder the terms: (-1x2 + 2x3) + -1(3x3 + -2x2) = 0 Remove parenthesis around (-1x2 + 2x3) -1x2 + 2x3 + -1(3x3 + -2x2) = 0 Reorder the terms: -1x2 + 2x3 + -1(-2x2 + 3x3) = 0 -1x2 + 2x3 + (-2x2 * -1 + 3x3 * -1) = 0 -1x2 + 2x3 + (2x2 + -3x3) = 0 Reorder the terms: -1x2 + 2x2 + 2x3 + -3x3 = 0 Combine like terms: -1x2 + 2x2 = 1x2 1x2 + 2x3 + -3x3 = 0 Combine like terms: 2x3 + -3x3 = -1x3 1x2 + -1x3 = 0 Solving 1x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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