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Simplifying x2 + -4x + -3x + 12 = 2 Reorder the terms: 12 + -4x + -3x + x2 = 2 Combine like terms: -4x + -3x = -7x 12 + -7x + x2 = 2 Solving 12 + -7x + x2 = 2 Solving for variable 'x'. Reorder the terms: 12 + -2 + -7x + x2 = 2 + -2 Combine like terms: 12 + -2 = 10 10 + -7x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 10 + -7x + x2 = 0 Factor a trinomial. (2 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {2, 5}
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