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Simplifying (4n + -7)(3n + 2) = 0 Reorder the terms: (-7 + 4n)(3n + 2) = 0 Reorder the terms: (-7 + 4n)(2 + 3n) = 0 Multiply (-7 + 4n) * (2 + 3n) (-7(2 + 3n) + 4n * (2 + 3n)) = 0 ((2 * -7 + 3n * -7) + 4n * (2 + 3n)) = 0 ((-14 + -21n) + 4n * (2 + 3n)) = 0 (-14 + -21n + (2 * 4n + 3n * 4n)) = 0 (-14 + -21n + (8n + 12n2)) = 0 Combine like terms: -21n + 8n = -13n (-14 + -13n + 12n2) = 0 Solving -14 + -13n + 12n2 = 0 Solving for variable 'n'. Factor a trinomial. (-2 + -3n)(7 + -4n) = 0Subproblem 1
Set the factor '(-2 + -3n)' equal to zero and attempt to solve: Simplifying -2 + -3n = 0 Solving -2 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = 0 + 2 -3n = 0 + 2 Combine like terms: 0 + 2 = 2 -3n = 2 Divide each side by '-3'. n = -0.6666666667 Simplifying n = -0.6666666667Subproblem 2
Set the factor '(7 + -4n)' equal to zero and attempt to solve: Simplifying 7 + -4n = 0 Solving 7 + -4n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4n = 0 + -7 -4n = 0 + -7 Combine like terms: 0 + -7 = -7 -4n = -7 Divide each side by '-4'. n = 1.75 Simplifying n = 1.75Solution
n = {-0.6666666667, 1.75}
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