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Simplifying 243x2 + 540x + 300 = 0 Reorder the terms: 300 + 540x + 243x2 = 0 Solving 300 + 540x + 243x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(100 + 180x + 81x2) = 0 Factor a trinomial. 3((10 + 9x)(10 + 9x)) = 0 Ignore the factor 3.Subproblem 1
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 = -1.111111111Subproblem 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 = {-1.111111111, -1.111111111}
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