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Simplifying (-2X + -7)(-1X + 9) = 0 Reorder the terms: (-7 + -2X)(-1X + 9) = 0 Reorder the terms: (-7 + -2X)(9 + -1X) = 0 Multiply (-7 + -2X) * (9 + -1X) (-7(9 + -1X) + -2X * (9 + -1X)) = 0 ((9 * -7 + -1X * -7) + -2X * (9 + -1X)) = 0 ((-63 + 7X) + -2X * (9 + -1X)) = 0 (-63 + 7X + (9 * -2X + -1X * -2X)) = 0 (-63 + 7X + (-18X + 2X2)) = 0 Combine like terms: 7X + -18X = -11X (-63 + -11X + 2X2) = 0 Solving -63 + -11X + 2X2 = 0 Solving for variable 'X'. Factor a trinomial. (-7 + -2X)(9 + -1X) = 0Subproblem 1
Set the factor '(-7 + -2X)' equal to zero and attempt to solve: Simplifying -7 + -2X = 0 Solving -7 + -2X = 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 + -2X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2X = 0 + 7 -2X = 0 + 7 Combine like terms: 0 + 7 = 7 -2X = 7 Divide each side by '-2'. X = -3.5 Simplifying X = -3.5Subproblem 2
Set the factor '(9 + -1X)' equal to zero and attempt to solve: Simplifying 9 + -1X = 0 Solving 9 + -1X = 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 + -1X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 0 + -9 -1X = 0 + -9 Combine like terms: 0 + -9 = -9 -1X = -9 Divide each side by '-1'. X = 9 Simplifying X = 9Solution
X = {-3.5, 9}
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