(4-w)(3w+8)=0

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Solution for (4-w)(3w+8)=0 equation:


Simplifying
(4 + -1w)(3w + 8) = 0

Reorder the terms:
(4 + -1w)(8 + 3w) = 0

Multiply (4 + -1w) * (8 + 3w)
(4(8 + 3w) + -1w * (8 + 3w)) = 0
((8 * 4 + 3w * 4) + -1w * (8 + 3w)) = 0
((32 + 12w) + -1w * (8 + 3w)) = 0
(32 + 12w + (8 * -1w + 3w * -1w)) = 0
(32 + 12w + (-8w + -3w2)) = 0

Combine like terms: 12w + -8w = 4w
(32 + 4w + -3w2) = 0

Solving
32 + 4w + -3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + -1w)(8 + 3w) = 0

Subproblem 1

Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Subproblem 2

Set the factor '(8 + 3w)' equal to zero and attempt to solve: Simplifying 8 + 3w = 0 Solving 8 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 0 + -8 3w = 0 + -8 Combine like terms: 0 + -8 = -8 3w = -8 Divide each side by '3'. w = -2.666666667 Simplifying w = -2.666666667

Solution

w = {4, -2.666666667}

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