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Simplifying 3x(x + 26) = 0 Reorder the terms: 3x(26 + x) = 0 (26 * 3x + x * 3x) = 0 (78x + 3x2) = 0 Solving 78x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(26 + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve: Simplifying 26 + x = 0 Solving 26 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + x = 0 + -26 x = 0 + -26 Combine like terms: 0 + -26 = -26 x = -26 Simplifying x = -26Solution
x = {0, -26}
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