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Simplifying 7X = 5 + 2X2 Solving 7X = 5 + 2X2 Solving for variable 'X'. Reorder the terms: -5 + 7X + -2X2 = 5 + 2X2 + -5 + -2X2 Reorder the terms: -5 + 7X + -2X2 = 5 + -5 + 2X2 + -2X2 Combine like terms: 5 + -5 = 0 -5 + 7X + -2X2 = 0 + 2X2 + -2X2 -5 + 7X + -2X2 = 2X2 + -2X2 Combine like terms: 2X2 + -2X2 = 0 -5 + 7X + -2X2 = 0 Factor a trinomial. (-5 + 2X)(1 + -1X) = 0Subproblem 1
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 = 2.5Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 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 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Solution
X = {2.5, 1}
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