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Simplifying (x2 + -7x + 12) + -1(x + 5) = 0 Reorder the terms: (12 + -7x + x2) + -1(x + 5) = 0 Remove parenthesis around (12 + -7x + x2) 12 + -7x + x2 + -1(x + 5) = 0 Reorder the terms: 12 + -7x + x2 + -1(5 + x) = 0 12 + -7x + x2 + (5 * -1 + x * -1) = 0 12 + -7x + x2 + (-5 + -1x) = 0 Reorder the terms: 12 + -5 + -7x + -1x + x2 = 0 Combine like terms: 12 + -5 = 7 7 + -7x + -1x + x2 = 0 Combine like terms: -7x + -1x = -8x 7 + -8x + x2 = 0 Solving 7 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {1, 7}
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