0=4W^2-5W-21

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Solution for 0=4W^2-5W-21 equation:


Simplifying
0 = 4W2 + -5W + -21

Reorder the terms:
0 = -21 + -5W + 4W2

Solving
0 = -21 + -5W + 4W2

Solving for variable 'W'.

Combine like terms: 0 + 21 = 21
21 + 5W + -4W2 = -21 + -5W + 4W2 + 21 + 5W + -4W2

Reorder the terms:
21 + 5W + -4W2 = -21 + 21 + -5W + 5W + 4W2 + -4W2

Combine like terms: -21 + 21 = 0
21 + 5W + -4W2 = 0 + -5W + 5W + 4W2 + -4W2
21 + 5W + -4W2 = -5W + 5W + 4W2 + -4W2

Combine like terms: -5W + 5W = 0
21 + 5W + -4W2 = 0 + 4W2 + -4W2
21 + 5W + -4W2 = 4W2 + -4W2

Combine like terms: 4W2 + -4W2 = 0
21 + 5W + -4W2 = 0

Factor a trinomial.
(3 + -1W)(7 + 4W) = 0

Subproblem 1

Set the factor '(3 + -1W)' equal to zero and attempt to solve: Simplifying 3 + -1W = 0 Solving 3 + -1W = 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 + -1W = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1W = 0 + -3 -1W = 0 + -3 Combine like terms: 0 + -3 = -3 -1W = -3 Divide each side by '-1'. W = 3 Simplifying W = 3

Subproblem 2

Set the factor '(7 + 4W)' equal to zero and attempt to solve: Simplifying 7 + 4W = 0 Solving 7 + 4W = 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 + 4W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4W = 0 + -7 4W = 0 + -7 Combine like terms: 0 + -7 = -7 4W = -7 Divide each side by '4'. W = -1.75 Simplifying W = -1.75

Solution

W = {3, -1.75}

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