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Simplifying X2 = 3X + 28 Reorder the terms: X2 = 28 + 3X Solving X2 = 28 + 3X Solving for variable 'X'. Reorder the terms: -28 + -3X + X2 = 28 + 3X + -28 + -3X Reorder the terms: -28 + -3X + X2 = 28 + -28 + 3X + -3X Combine like terms: 28 + -28 = 0 -28 + -3X + X2 = 0 + 3X + -3X -28 + -3X + X2 = 3X + -3X Combine like terms: 3X + -3X = 0 -28 + -3X + X2 = 0 Factor a trinomial. (-4 + -1X)(7 + -1X) = 0Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {-4, 7}
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