-4w^2-20w-21=0

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Solution for -4w^2-20w-21=0 equation:


Simplifying
-4w2 + -20w + -21 = 0

Reorder the terms:
-21 + -20w + -4w2 = 0

Solving
-21 + -20w + -4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 20w + 4w2) = 0

Factor a trinomial.
-1((7 + 2w)(3 + 2w)) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(7 + 2w)' equal to zero and attempt to solve: Simplifying 7 + 2w = 0 Solving 7 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 0 + -7 2w = 0 + -7 Combine like terms: 0 + -7 = -7 2w = -7 Divide each side by '2'. w = -3.5 Simplifying w = -3.5

Subproblem 2

Set the factor '(3 + 2w)' equal to zero and attempt to solve: Simplifying 3 + 2w = 0 Solving 3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2w = 0 + -3 2w = 0 + -3 Combine like terms: 0 + -3 = -3 2w = -3 Divide each side by '2'. w = -1.5 Simplifying w = -1.5

Solution

w = {-3.5, -1.5}

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