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Simplifying (X2) + 3X = 3 + 7 X2 + 3X = 3 + 7 Reorder the terms: 3X + X2 = 3 + 7 Combine like terms: 3 + 7 = 10 3X + X2 = 10 Solving 3X + X2 = 10 Solving for variable 'X'. Reorder the terms: -10 + 3X + X2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 3X + X2 = 0 Factor a trinomial. (-5 + -1X)(2 + -1X) = 0Subproblem 1
Set the factor '(-5 + -1X)' equal to zero and attempt to solve: Simplifying -5 + -1X = 0 Solving -5 + -1X = 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 + -1X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1X = 0 + 5 -1X = 0 + 5 Combine like terms: 0 + 5 = 5 -1X = 5 Divide each side by '-1'. X = -5 Simplifying X = -5Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {-5, 2}
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