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Simplifying x2 + -1x + -6 = 4x + -10 Reorder the terms: -6 + -1x + x2 = 4x + -10 Reorder the terms: -6 + -1x + x2 = -10 + 4x Solving -6 + -1x + x2 = -10 + 4x Solving for variable 'x'. Reorder the terms: -6 + 10 + -1x + -4x + x2 = -10 + 4x + 10 + -4x Combine like terms: -6 + 10 = 4 4 + -1x + -4x + x2 = -10 + 4x + 10 + -4x Combine like terms: -1x + -4x = -5x 4 + -5x + x2 = -10 + 4x + 10 + -4x Reorder the terms: 4 + -5x + x2 = -10 + 10 + 4x + -4x Combine like terms: -10 + 10 = 0 4 + -5x + x2 = 0 + 4x + -4x 4 + -5x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 4 + -5x + x2 = 0 Factor a trinomial. (1 + -1x)(4 + -1x) = 0Subproblem 1
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 = 1Subproblem 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 = {1, 4}
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