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Simplifying x2 + 12x + 35x = 0 Reorder the terms: 12x + 35x + x2 = 0 Combine like terms: 12x + 35x = 47x 47x + x2 = 0 Solving 47x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(47 + x) = 0Subproblem 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 '(47 + x)' equal to zero and attempt to solve: Simplifying 47 + x = 0 Solving 47 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + x = 0 + -47 x = 0 + -47 Combine like terms: 0 + -47 = -47 x = -47 Simplifying x = -47Solution
x = {0, -47}
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