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Simplifying 30X2 + X + -20 = 0 Reorder the terms: -20 + X + 30X2 = 0 Solving -20 + X + 30X2 = 0 Solving for variable 'X'. Factor a trinomial. (-5 + -6X)(4 + -5X) = 0Subproblem 1
Set the factor '(-5 + -6X)' equal to zero and attempt to solve: Simplifying -5 + -6X = 0 Solving -5 + -6X = 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 + -6X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6X = 0 + 5 -6X = 0 + 5 Combine like terms: 0 + 5 = 5 -6X = 5 Divide each side by '-6'. X = -0.8333333333 Simplifying X = -0.8333333333Subproblem 2
Set the factor '(4 + -5X)' equal to zero and attempt to solve: Simplifying 4 + -5X = 0 Solving 4 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5X = 0 + -4 -5X = 0 + -4 Combine like terms: 0 + -4 = -4 -5X = -4 Divide each side by '-5'. X = 0.8 Simplifying X = 0.8Solution
X = {-0.8333333333, 0.8}
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