(-2n+4)(-5n+7)=

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Solution for (-2n+4)(-5n+7)= equation:


Simplifying
(-2n + 4)(-5n + 7) = 0

Reorder the terms:
(4 + -2n)(-5n + 7) = 0

Reorder the terms:
(4 + -2n)(7 + -5n) = 0

Multiply (4 + -2n) * (7 + -5n)
(4(7 + -5n) + -2n * (7 + -5n)) = 0
((7 * 4 + -5n * 4) + -2n * (7 + -5n)) = 0
((28 + -20n) + -2n * (7 + -5n)) = 0
(28 + -20n + (7 * -2n + -5n * -2n)) = 0
(28 + -20n + (-14n + 10n2)) = 0

Combine like terms: -20n + -14n = -34n
(28 + -34n + 10n2) = 0

Solving
28 + -34n + 10n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -17n + 5n2) = 0

Factor a trinomial.
2((7 + -5n)(2 + -1n)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + -5n)' equal to zero and attempt to solve: Simplifying 7 + -5n = 0 Solving 7 + -5n = 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 + -5n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5n = 0 + -7 -5n = 0 + -7 Combine like terms: 0 + -7 = -7 -5n = -7 Divide each side by '-5'. n = 1.4 Simplifying n = 1.4

Subproblem 2

Set the factor '(2 + -1n)' equal to zero and attempt to solve: Simplifying 2 + -1n = 0 Solving 2 + -1n = 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 + -1n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 0 + -2 -1n = 0 + -2 Combine like terms: 0 + -2 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2

Solution

n = {1.4, 2}

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