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Simplifying 9x2(6x + 8) = 0 Reorder the terms: 9x2(8 + 6x) = 0 (8 * 9x2 + 6x * 9x2) = 0 (72x2 + 54x3) = 0 Solving 72x2 + 54x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '18x2'. 18x2(4 + 3x) = 0 Ignore the factor 18.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 '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333Solution
x = {0, -1.333333333}
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