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Simplifying 5X2 + -51 = 2X Reorder the terms: -51 + 5X2 = 2X Solving -51 + 5X2 = 2X Solving for variable 'X'. Reorder the terms: -51 + -2X + 5X2 = 2X + -2X Combine like terms: 2X + -2X = 0 -51 + -2X + 5X2 = 0 Factor a trinomial. (-3 + -1X)(17 + -5X) = 0Subproblem 1
Set the factor '(-3 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 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 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 2
Set the factor '(17 + -5X)' equal to zero and attempt to solve: Simplifying 17 + -5X = 0 Solving 17 + -5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5X = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5X = 0 + -17 -5X = 0 + -17 Combine like terms: 0 + -17 = -17 -5X = -17 Divide each side by '-5'. X = 3.4 Simplifying X = 3.4Solution
X = {-3, 3.4}
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