(8w-3)(4w-7)=

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Solution for (8w-3)(4w-7)= equation:


Simplifying
(8w + -3)(4w + -7) = 0

Reorder the terms:
(-3 + 8w)(4w + -7) = 0

Reorder the terms:
(-3 + 8w)(-7 + 4w) = 0

Multiply (-3 + 8w) * (-7 + 4w)
(-3(-7 + 4w) + 8w * (-7 + 4w)) = 0
((-7 * -3 + 4w * -3) + 8w * (-7 + 4w)) = 0
((21 + -12w) + 8w * (-7 + 4w)) = 0
(21 + -12w + (-7 * 8w + 4w * 8w)) = 0
(21 + -12w + (-56w + 32w2)) = 0

Combine like terms: -12w + -56w = -68w
(21 + -68w + 32w2) = 0

Solving
21 + -68w + 32w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(3 + -8w)(7 + -4w) = 0

Subproblem 1

Set the factor '(3 + -8w)' equal to zero and attempt to solve: Simplifying 3 + -8w = 0 Solving 3 + -8w = 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 + -8w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8w = 0 + -3 -8w = 0 + -3 Combine like terms: 0 + -3 = -3 -8w = -3 Divide each side by '-8'. w = 0.375 Simplifying w = 0.375

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 = {0.375, 1.75}

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