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Simplifying (6x2 + -3x3) + -1(3x2 + -6x3) = 0 Remove parenthesis around (6x2 + -3x3) 6x2 + -3x3 + -1(3x2 + -6x3) = 0 6x2 + -3x3 + (3x2 * -1 + -6x3 * -1) = 0 6x2 + -3x3 + (-3x2 + 6x3) = 0 Reorder the terms: 6x2 + -3x2 + -3x3 + 6x3 = 0 Combine like terms: 6x2 + -3x2 = 3x2 3x2 + -3x3 + 6x3 = 0 Combine like terms: -3x3 + 6x3 = 3x3 3x2 + 3x3 = 0 Solving 3x2 + 3x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(1 + x) = 0 Ignore the factor 3.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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