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Simplifying X2 + 4 = 5X + 10 Reorder the terms: 4 + X2 = 5X + 10 Reorder the terms: 4 + X2 = 10 + 5X Solving 4 + X2 = 10 + 5X Solving for variable 'X'. Reorder the terms: 4 + -10 + -5X + X2 = 10 + 5X + -10 + -5X Combine like terms: 4 + -10 = -6 -6 + -5X + X2 = 10 + 5X + -10 + -5X Reorder the terms: -6 + -5X + X2 = 10 + -10 + 5X + -5X Combine like terms: 10 + -10 = 0 -6 + -5X + X2 = 0 + 5X + -5X -6 + -5X + X2 = 5X + -5X Combine like terms: 5X + -5X = 0 -6 + -5X + X2 = 0 Factor a trinomial. (-1 + -1X)(6 + -1X) = 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 '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {-1, 6}
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