21w^2-41w+10=0

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Solution for 21w^2-41w+10=0 equation:


Simplifying
21w2 + -41w + 10 = 0

Reorder the terms:
10 + -41w + 21w2 = 0

Solving
10 + -41w + 21w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(2 + -7w)' equal to zero and attempt to solve: Simplifying 2 + -7w = 0 Solving 2 + -7w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7w = 0 + -2 -7w = 0 + -2 Combine like terms: 0 + -2 = -2 -7w = -2 Divide each side by '-7'. w = 0.2857142857 Simplifying w = 0.2857142857

Subproblem 2

Set the factor '(5 + -3w)' equal to zero and attempt to solve: Simplifying 5 + -3w = 0 Solving 5 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 0 + -5 -3w = 0 + -5 Combine like terms: 0 + -5 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667

Solution

w = {0.2857142857, 1.666666667}

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