(4w-7)(4w-7)=

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


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

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

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

Multiply (-7 + 4w) * (-7 + 4w)
(-7(-7 + 4w) + 4w * (-7 + 4w)) = 0
((-7 * -7 + 4w * -7) + 4w * (-7 + 4w)) = 0
((49 + -28w) + 4w * (-7 + 4w)) = 0
(49 + -28w + (-7 * 4w + 4w * 4w)) = 0
(49 + -28w + (-28w + 16w2)) = 0

Combine like terms: -28w + -28w = -56w
(49 + -56w + 16w2) = 0

Solving
49 + -56w + 16w2 = 0

Solving for variable 'w'.

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

Subproblem 1

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

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 = {1.75, 1.75}

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