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Simplifying 1X2 + 3X = 28 Reorder the terms: 3X + 1X2 = 28 Solving 3X + 1X2 = 28 Solving for variable 'X'. Reorder the terms: -28 + 3X + 1X2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 3X + 1X2 = 0 Factor a trinomial. (-7 + -1X)(4 + -1X) = 0Subproblem 1
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 = -7Subproblem 2
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 = 4Solution
X = {-7, 4}
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