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Simplifying (6x2 + -3x3) + -1(3x3 + -8x3) = 0 Remove parenthesis around (6x2 + -3x3) 6x2 + -3x3 + -1(3x3 + -8x3) = 0 Combine like terms: 3x3 + -8x3 = -5x3 6x2 + -3x3 + -1(-5x3) = 0 Remove parenthesis around (-5x3) 6x2 + -3x3 + -1 * -5x3 = 0 Multiply -1 * -5 6x2 + -3x3 + 5x3 = 0 Combine like terms: -3x3 + 5x3 = 2x3 6x2 + 2x3 = 0 Solving 6x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(3 + x) = 0 Ignore the factor 2.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 '(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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