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Simplifying 45000000x2 + 900000x + -19995500 = 0 Reorder the terms: -19995500 + 900000x + 45000000x2 = 0 Solving -19995500 + 900000x + 45000000x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '500'. 500(-39991 + 1800x + 90000x2) = 0 Factor a trinomial. 500((-203 + -300x)(197 + -300x)) = 0 Ignore the factor 500.Subproblem 1
Set the factor '(-203 + -300x)' equal to zero and attempt to solve: Simplifying -203 + -300x = 0 Solving -203 + -300x = 0 Move all terms containing x to the left, all other terms to the right. Add '203' to each side of the equation. -203 + 203 + -300x = 0 + 203 Combine like terms: -203 + 203 = 0 0 + -300x = 0 + 203 -300x = 0 + 203 Combine like terms: 0 + 203 = 203 -300x = 203 Divide each side by '-300'. x = -0.6766666667 Simplifying x = -0.6766666667Subproblem 2
Set the factor '(197 + -300x)' equal to zero and attempt to solve: Simplifying 197 + -300x = 0 Solving 197 + -300x = 0 Move all terms containing x to the left, all other terms to the right. Add '-197' to each side of the equation. 197 + -197 + -300x = 0 + -197 Combine like terms: 197 + -197 = 0 0 + -300x = 0 + -197 -300x = 0 + -197 Combine like terms: 0 + -197 = -197 -300x = -197 Divide each side by '-300'. x = 0.6566666667 Simplifying x = 0.6566666667Solution
x = {-0.6766666667, 0.6566666667}
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