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Simplifying (-23 + -3x)(2 + -1x) = 0 Multiply (-23 + -3x) * (2 + -1x) (-23(2 + -1x) + -3x * (2 + -1x)) = 0 ((2 * -23 + -1x * -23) + -3x * (2 + -1x)) = 0 ((-46 + 23x) + -3x * (2 + -1x)) = 0 (-46 + 23x + (2 * -3x + -1x * -3x)) = 0 (-46 + 23x + (-6x + 3x2)) = 0 Combine like terms: 23x + -6x = 17x (-46 + 17x + 3x2) = 0 Solving -46 + 17x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-23 + -3x)(2 + -1x) = 0Subproblem 1
Set the factor '(-23 + -3x)' equal to zero and attempt to solve: Simplifying -23 + -3x = 0 Solving -23 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -3x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -3x = 0 + 23 -3x = 0 + 23 Combine like terms: 0 + 23 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667Subproblem 2
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 = 2Solution
x = {-7.666666667, 2}
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