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Simplifying 5x2 + 3x + -198 = 0 Reorder the terms: -198 + 3x + 5x2 = 0 Solving -198 + 3x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-33 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-33 + -5x)' equal to zero and attempt to solve: Simplifying -33 + -5x = 0 Solving -33 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -5x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -5x = 0 + 33 -5x = 0 + 33 Combine like terms: 0 + 33 = 33 -5x = 33 Divide each side by '-5'. x = -6.6 Simplifying x = -6.6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-6.6, 6}
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