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Simplifying (-3X2 + -8X + 3) + (-5X2 + 3X) = 0 Reorder the terms: (3 + -8X + -3X2) + (-5X2 + 3X) = 0 Remove parenthesis around (3 + -8X + -3X2) 3 + -8X + -3X2 + (-5X2 + 3X) = 0 Reorder the terms: 3 + -8X + -3X2 + (3X + -5X2) = 0 Remove parenthesis around (3X + -5X2) 3 + -8X + -3X2 + 3X + -5X2 = 0 Reorder the terms: 3 + -8X + 3X + -3X2 + -5X2 = 0 Combine like terms: -8X + 3X = -5X 3 + -5X + -3X2 + -5X2 = 0 Combine like terms: -3X2 + -5X2 = -8X2 3 + -5X + -8X2 = 0 Solving 3 + -5X + -8X2 = 0 Solving for variable 'X'. Factor a trinomial. (3 + -8X)(1 + X) = 0Subproblem 1
Set the factor '(3 + -8X)' equal to zero and attempt to solve: Simplifying 3 + -8X = 0 Solving 3 + -8X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8X = 0 + -3 -8X = 0 + -3 Combine like terms: 0 + -3 = -3 -8X = -3 Divide each side by '-8'. X = 0.375 Simplifying X = 0.375Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {0.375, -1}
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