(5n-3)(2n+1)=

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Solution for (5n-3)(2n+1)= equation:


Simplifying
(5n + -3)(2n + 1) = 0

Reorder the terms:
(-3 + 5n)(2n + 1) = 0

Reorder the terms:
(-3 + 5n)(1 + 2n) = 0

Multiply (-3 + 5n) * (1 + 2n)
(-3(1 + 2n) + 5n * (1 + 2n)) = 0
((1 * -3 + 2n * -3) + 5n * (1 + 2n)) = 0
((-3 + -6n) + 5n * (1 + 2n)) = 0
(-3 + -6n + (1 * 5n + 2n * 5n)) = 0
(-3 + -6n + (5n + 10n2)) = 0

Combine like terms: -6n + 5n = -1n
(-3 + -1n + 10n2) = 0

Solving
-3 + -1n + 10n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-1 + -2n)(3 + -5n) = 0

Subproblem 1

Set the factor '(-1 + -2n)' equal to zero and attempt to solve: Simplifying -1 + -2n = 0 Solving -1 + -2n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2n = 0 + 1 -2n = 0 + 1 Combine like terms: 0 + 1 = 1 -2n = 1 Divide each side by '-2'. n = -0.5 Simplifying n = -0.5

Subproblem 2

Set the factor '(3 + -5n)' equal to zero and attempt to solve: Simplifying 3 + -5n = 0 Solving 3 + -5n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5n = 0 + -3 -5n = 0 + -3 Combine like terms: 0 + -3 = -3 -5n = -3 Divide each side by '-5'. n = 0.6 Simplifying n = 0.6

Solution

n = {-0.5, 0.6}

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