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Simplifying 13x2 + 5x + 8x2 = 0 Reorder the terms: 5x + 13x2 + 8x2 = 0 Combine like terms: 13x2 + 8x2 = 21x2 5x + 21x2 = 0 Solving 5x + 21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 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 '(5 + 21x)' equal to zero and attempt to solve: Simplifying 5 + 21x = 0 Solving 5 + 21x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 21x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 21x = 0 + -5 21x = 0 + -5 Combine like terms: 0 + -5 = -5 21x = -5 Divide each side by '21'. x = -0.2380952381 Simplifying x = -0.2380952381Solution
x = {0, -0.2380952381}
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