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Simplifying (-3x + 7) + -1(x2 + x + -5) = 0 Reorder the terms: (7 + -3x) + -1(x2 + x + -5) = 0 Remove parenthesis around (7 + -3x) 7 + -3x + -1(x2 + x + -5) = 0 Reorder the terms: 7 + -3x + -1(-5 + x + x2) = 0 7 + -3x + (-5 * -1 + x * -1 + x2 * -1) = 0 7 + -3x + (5 + -1x + -1x2) = 0 Reorder the terms: 7 + 5 + -3x + -1x + -1x2 = 0 Combine like terms: 7 + 5 = 12 12 + -3x + -1x + -1x2 = 0 Combine like terms: -3x + -1x = -4x 12 + -4x + -1x2 = 0 Solving 12 + -4x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(6 + x) = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {2, -6}
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