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Simplifying 8x2 + 36x2 + 18x + 9x2 = 0 Reorder the terms: 18x + 8x2 + 36x2 + 9x2 = 0 Combine like terms: 8x2 + 36x2 = 44x2 18x + 44x2 + 9x2 = 0 Combine like terms: 44x2 + 9x2 = 53x2 18x + 53x2 = 0 Solving 18x + 53x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(18 + 53x) = 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 '(18 + 53x)' equal to zero and attempt to solve: Simplifying 18 + 53x = 0 Solving 18 + 53x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 53x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 53x = 0 + -18 53x = 0 + -18 Combine like terms: 0 + -18 = -18 53x = -18 Divide each side by '53'. x = -0.3396226415 Simplifying x = -0.3396226415Solution
x = {0, -0.3396226415}
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