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Simplifying X2 + -45 = 4X Reorder the terms: -45 + X2 = 4X Solving -45 + X2 = 4X Solving for variable 'X'. Reorder the terms: -45 + -4X + X2 = 4X + -4X Combine like terms: 4X + -4X = 0 -45 + -4X + X2 = 0 Factor a trinomial. (-5 + -1X)(9 + -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 '(9 + -1X)' equal to zero and attempt to solve: Simplifying 9 + -1X = 0 Solving 9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 0 + -9 -1X = 0 + -9 Combine like terms: 0 + -9 = -9 -1X = -9 Divide each side by '-1'. X = 9 Simplifying X = 9Solution
X = {-5, 9}
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