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Simplifying 3x2 + 19x2 + 20x = 0 Reorder the terms: 20x + 3x2 + 19x2 = 0 Combine like terms: 3x2 + 19x2 = 22x2 20x + 22x2 = 0 Solving 20x + 22x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(10 + 11x) = 0 Ignore the factor 2.Subproblem 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 '(10 + 11x)' equal to zero and attempt to solve: Simplifying 10 + 11x = 0 Solving 10 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11x = 0 + -10 11x = 0 + -10 Combine like terms: 0 + -10 = -10 11x = -10 Divide each side by '11'. x = -0.9090909091 Simplifying x = -0.9090909091Solution
x = {0, -0.9090909091}
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