(4w+5z)(4w+5z)=

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Solution for (4w+5z)(4w+5z)= equation:


Simplifying
(4w + 5z)(4w + 5z) = 0

Multiply (4w + 5z) * (4w + 5z)
(4w * (4w + 5z) + 5z * (4w + 5z)) = 0
((4w * 4w + 5z * 4w) + 5z * (4w + 5z)) = 0

Reorder the terms:
((20wz + 16w2) + 5z * (4w + 5z)) = 0
((20wz + 16w2) + 5z * (4w + 5z)) = 0
(20wz + 16w2 + (4w * 5z + 5z * 5z)) = 0
(20wz + 16w2 + (20wz + 25z2)) = 0

Reorder the terms:
(20wz + 20wz + 16w2 + 25z2) = 0

Combine like terms: 20wz + 20wz = 40wz
(40wz + 16w2 + 25z2) = 0

Solving
40wz + 16w2 + 25z2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4w + 5z)(4w + 5z) = 0

Subproblem 1

Set the factor '(4w + 5z)' equal to zero and attempt to solve: Simplifying 4w + 5z = 0 Solving 4w + 5z = 0 Move all terms containing w to the left, all other terms to the right. Add '-5z' to each side of the equation. 4w + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 4w + 0 = 0 + -5z 4w = 0 + -5z Remove the zero: 4w = -5z Divide each side by '4'. w = -1.25z Simplifying w = -1.25z

Subproblem 2

Set the factor '(4w + 5z)' equal to zero and attempt to solve: Simplifying 4w + 5z = 0 Solving 4w + 5z = 0 Move all terms containing w to the left, all other terms to the right. Add '-5z' to each side of the equation. 4w + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 4w + 0 = 0 + -5z 4w = 0 + -5z Remove the zero: 4w = -5z Divide each side by '4'. w = -1.25z Simplifying w = -1.25z

Solution

w = {-1.25z, -1.25z}

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