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Simplifying 6X2 + X + -40 = 0 Reorder the terms: -40 + X + 6X2 = 0 Solving -40 + X + 6X2 = 0 Solving for variable 'X'. Factor a trinomial. (-8 + -3X)(5 + -2X) = 0Subproblem 1
Set the factor '(-8 + -3X)' equal to zero and attempt to solve: Simplifying -8 + -3X = 0 Solving -8 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3X = 0 + 8 -3X = 0 + 8 Combine like terms: 0 + 8 = 8 -3X = 8 Divide each side by '-3'. X = -2.666666667 Simplifying X = -2.666666667Subproblem 2
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 = 2.5Solution
X = {-2.666666667, 2.5}
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