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Simplifying 3x2 + -198 = 15x Reorder the terms: -198 + 3x2 = 15x Solving -198 + 3x2 = 15x Solving for variable 'x'. Reorder the terms: -198 + -15x + 3x2 = 15x + -15x Combine like terms: 15x + -15x = 0 -198 + -15x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-66 + -5x + x2) = 0 Factor a trinomial. 3((-6 + -1x)(11 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -6Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-6, 11}
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