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Simplifying 18x2 + -33x = 195 Reorder the terms: -33x + 18x2 = 195 Solving -33x + 18x2 = 195 Solving for variable 'x'. Reorder the terms: -195 + -33x + 18x2 = 195 + -195 Combine like terms: 195 + -195 = 0 -195 + -33x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-65 + -11x + 6x2) = 0 Factor a trinomial. 3((-5 + -2x)(13 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333Solution
x = {-2.5, 4.333333333}
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