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Simplifying 3x(x + 5) + x(3 + 3x) = 0 Reorder the terms: 3x(5 + x) + x(3 + 3x) = 0 (5 * 3x + x * 3x) + x(3 + 3x) = 0 (15x + 3x2) + x(3 + 3x) = 0 15x + 3x2 + (3 * x + 3x * x) = 0 15x + 3x2 + (3x + 3x2) = 0 Reorder the terms: 15x + 3x + 3x2 + 3x2 = 0 Combine like terms: 15x + 3x = 18x 18x + 3x2 + 3x2 = 0 Combine like terms: 3x2 + 3x2 = 6x2 18x + 6x2 = 0 Solving 18x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(3 + x) = 0 Ignore the factor 6.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 '(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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