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Simplifying (-7x + 7) + -1(x2 + x + -2) = 0 Reorder the terms: (7 + -7x) + -1(x2 + x + -2) = 0 Remove parenthesis around (7 + -7x) 7 + -7x + -1(x2 + x + -2) = 0 Reorder the terms: 7 + -7x + -1(-2 + x + x2) = 0 7 + -7x + (-2 * -1 + x * -1 + x2 * -1) = 0 7 + -7x + (2 + -1x + -1x2) = 0 Reorder the terms: 7 + 2 + -7x + -1x + -1x2 = 0 Combine like terms: 7 + 2 = 9 9 + -7x + -1x + -1x2 = 0 Combine like terms: -7x + -1x = -8x 9 + -8x + -1x2 = 0 Solving 9 + -8x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(9 + x) = 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {1, -9}
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