10n^2-29n-21=0

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Solution for 10n^2-29n-21=0 equation:


Simplifying
10n2 + -29n + -21 = 0

Reorder the terms:
-21 + -29n + 10n2 = 0

Solving
-21 + -29n + 10n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + -5n)(7 + -2n) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -2n)' equal to zero and attempt to solve: Simplifying 7 + -2n = 0 Solving 7 + -2n = 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 + -2n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 0 + -7 -2n = 0 + -7 Combine like terms: 0 + -7 = -7 -2n = -7 Divide each side by '-2'. n = 3.5 Simplifying n = 3.5

Solution

n = {-0.6, 3.5}

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