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Simplifying X2 + 8X = 6X + 3 Reorder the terms: 8X + X2 = 6X + 3 Reorder the terms: 8X + X2 = 3 + 6X Solving 8X + X2 = 3 + 6X Solving for variable 'X'. Reorder the terms: -3 + 8X + -6X + X2 = 3 + 6X + -3 + -6X Combine like terms: 8X + -6X = 2X -3 + 2X + X2 = 3 + 6X + -3 + -6X Reorder the terms: -3 + 2X + X2 = 3 + -3 + 6X + -6X Combine like terms: 3 + -3 = 0 -3 + 2X + X2 = 0 + 6X + -6X -3 + 2X + X2 = 6X + -6X Combine like terms: 6X + -6X = 0 -3 + 2X + X2 = 0 Factor a trinomial. (-3 + -1X)(1 + -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 '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 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 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Solution
X = {-3, 1}
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