21w^2+8w-4=0

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Solution for 21w^2+8w-4=0 equation:


Simplifying
21w2 + 8w + -4 = 0

Reorder the terms:
-4 + 8w + 21w2 = 0

Solving
-4 + 8w + 21w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(-2 + -3w)' equal to zero and attempt to solve: Simplifying -2 + -3w = 0 Solving -2 + -3w = 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 + -3w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3w = 0 + 2 -3w = 0 + 2 Combine like terms: 0 + 2 = 2 -3w = 2 Divide each side by '-3'. w = -0.6666666667 Simplifying w = -0.6666666667

Subproblem 2

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

Solution

w = {-0.6666666667, 0.2857142857}

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