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Simplifying 19x2 + -1x2 + -20x = 0 Reorder the terms: -20x + 19x2 + -1x2 = 0 Combine like terms: 19x2 + -1x2 = 18x2 -20x + 18x2 = 0 Solving -20x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-10 + 9x) = 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 + 9x)' equal to zero and attempt to solve: Simplifying -10 + 9x = 0 Solving -10 + 9x = 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 + 9x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 0 + 10 9x = 0 + 10 Combine like terms: 0 + 10 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111Solution
x = {0, 1.111111111}
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