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Simplifying X2 + -10X + 3 = -6 + -4X Reorder the terms: 3 + -10X + X2 = -6 + -4X Solving 3 + -10X + X2 = -6 + -4X Solving for variable 'X'. Reorder the terms: 3 + 6 + -10X + 4X + X2 = -6 + -4X + 6 + 4X Combine like terms: 3 + 6 = 9 9 + -10X + 4X + X2 = -6 + -4X + 6 + 4X Combine like terms: -10X + 4X = -6X 9 + -6X + X2 = -6 + -4X + 6 + 4X Reorder the terms: 9 + -6X + X2 = -6 + 6 + -4X + 4X Combine like terms: -6 + 6 = 0 9 + -6X + X2 = 0 + -4X + 4X 9 + -6X + X2 = -4X + 4X Combine like terms: -4X + 4X = 0 9 + -6X + X2 = 0 Factor a trinomial. (3 + -1X)(3 + -1X) = 0Subproblem 1
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {3, 3}
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