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Simplifying 2X2 + 5 = 7X Reorder the terms: 5 + 2X2 = 7X Solving 5 + 2X2 = 7X Solving for variable 'X'. Reorder the terms: 5 + -7X + 2X2 = 7X + -7X Combine like terms: 7X + -7X = 0 5 + -7X + 2X2 = 0 Factor a trinomial. (1 + -1X)(5 + -2X) = 0Subproblem 1
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 = 1Subproblem 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 = {1, 2.5}
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