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Simplifying 21x3 + 27x2 + 42x2 = 0 Reorder the terms: 27x2 + 42x2 + 21x3 = 0 Combine like terms: 27x2 + 42x2 = 69x2 69x2 + 21x3 = 0 Solving 69x2 + 21x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(23 + 7x) = 0 Ignore the factor 3.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 '(23 + 7x)' equal to zero and attempt to solve: Simplifying 23 + 7x = 0 Solving 23 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7x = 0 + -23 7x = 0 + -23 Combine like terms: 0 + -23 = -23 7x = -23 Divide each side by '7'. x = -3.285714286 Simplifying x = -3.285714286Solution
x = {0, -3.285714286}
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