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Simplifying (X + 6)(4X + -5) = 0 Reorder the terms: (6 + X)(4X + -5) = 0 Reorder the terms: (6 + X)(-5 + 4X) = 0 Multiply (6 + X) * (-5 + 4X) (6(-5 + 4X) + X(-5 + 4X)) = 0 ((-5 * 6 + 4X * 6) + X(-5 + 4X)) = 0 ((-30 + 24X) + X(-5 + 4X)) = 0 (-30 + 24X + (-5 * X + 4X * X)) = 0 (-30 + 24X + (-5X + 4X2)) = 0 Combine like terms: 24X + -5X = 19X (-30 + 19X + 4X2) = 0 Solving -30 + 19X + 4X2 = 0 Solving for variable 'X'. Factor a trinomial. (-6 + -1X)(5 + -4X) = 0Subproblem 1
Set the factor '(-6 + -1X)' equal to zero and attempt to solve: Simplifying -6 + -1X = 0 Solving -6 + -1X = 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 + -1X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1X = 0 + 6 -1X = 0 + 6 Combine like terms: 0 + 6 = 6 -1X = 6 Divide each side by '-1'. X = -6 Simplifying X = -6Subproblem 2
Set the factor '(5 + -4X)' equal to zero and attempt to solve: Simplifying 5 + -4X = 0 Solving 5 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4X = 0 + -5 -4X = 0 + -5 Combine like terms: 0 + -5 = -5 -4X = -5 Divide each side by '-4'. X = 1.25 Simplifying X = 1.25Solution
X = {-6, 1.25}
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