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Simplifying 4x2 + 12x + 9x = 0 Reorder the terms: 12x + 9x + 4x2 = 0 Combine like terms: 12x + 9x = 21x 21x + 4x2 = 0 Solving 21x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(21 + 4x) = 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 '(21 + 4x)' equal to zero and attempt to solve: Simplifying 21 + 4x = 0 Solving 21 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4x = 0 + -21 4x = 0 + -21 Combine like terms: 0 + -21 = -21 4x = -21 Divide each side by '4'. x = -5.25 Simplifying x = -5.25Solution
x = {0, -5.25}
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