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Simplifying X2 + 14X + 10 = 4X + 1 Reorder the terms: 10 + 14X + X2 = 4X + 1 Reorder the terms: 10 + 14X + X2 = 1 + 4X Solving 10 + 14X + X2 = 1 + 4X Solving for variable 'X'. Reorder the terms: 10 + -1 + 14X + -4X + X2 = 1 + 4X + -1 + -4X Combine like terms: 10 + -1 = 9 9 + 14X + -4X + X2 = 1 + 4X + -1 + -4X Combine like terms: 14X + -4X = 10X 9 + 10X + X2 = 1 + 4X + -1 + -4X Reorder the terms: 9 + 10X + X2 = 1 + -1 + 4X + -4X Combine like terms: 1 + -1 = 0 9 + 10X + X2 = 0 + 4X + -4X 9 + 10X + X2 = 4X + -4X Combine like terms: 4X + -4X = 0 9 + 10X + X2 = 0 Factor a trinomial. (9 + X)(1 + X) = 0Subproblem 1
Set the factor '(9 + X)' equal to zero and attempt to solve: Simplifying 9 + X = 0 Solving 9 + X = 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 + X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + X = 0 + -9 X = 0 + -9 Combine like terms: 0 + -9 = -9 X = -9 Simplifying X = -9Subproblem 2
Set the factor '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 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 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-9, -1}
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