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Simplifying (13x2 + x) + 8x2 = 0 Reorder the terms: (x + 13x2) + 8x2 = 0 Remove parenthesis around (x + 13x2) x + 13x2 + 8x2 = 0 Combine like terms: 13x2 + 8x2 = 21x2 x + 21x2 = 0 Solving x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(1 + 21x) = 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 '(1 + 21x)' equal to zero and attempt to solve: Simplifying 1 + 21x = 0 Solving 1 + 21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 21x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 21x = 0 + -1 21x = 0 + -1 Combine like terms: 0 + -1 = -1 21x = -1 Divide each side by '21'. x = -0.04761904762 Simplifying x = -0.04761904762Solution
x = {0, -0.04761904762}
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