(7u-3y)(7u-3y)=

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Solution for (7u-3y)(7u-3y)= equation:


Simplifying
(7u + -3y)(7u + -3y) = 0

Multiply (7u + -3y) * (7u + -3y)
(7u * (7u + -3y) + -3y * (7u + -3y)) = 0
((7u * 7u + -3y * 7u) + -3y * (7u + -3y)) = 0

Reorder the terms:
((-21uy + 49u2) + -3y * (7u + -3y)) = 0
((-21uy + 49u2) + -3y * (7u + -3y)) = 0
(-21uy + 49u2 + (7u * -3y + -3y * -3y)) = 0
(-21uy + 49u2 + (-21uy + 9y2)) = 0

Reorder the terms:
(-21uy + -21uy + 49u2 + 9y2) = 0

Combine like terms: -21uy + -21uy = -42uy
(-42uy + 49u2 + 9y2) = 0

Solving
-42uy + 49u2 + 9y2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7u + -3y)(7u + -3y) = 0

Subproblem 1

Set the factor '(7u + -3y)' equal to zero and attempt to solve: Simplifying 7u + -3y = 0 Solving 7u + -3y = 0 Move all terms containing u to the left, all other terms to the right. Add '3y' to each side of the equation. 7u + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7u + 0 = 0 + 3y 7u = 0 + 3y Remove the zero: 7u = 3y Divide each side by '7'. u = 0.4285714286y Simplifying u = 0.4285714286y

Subproblem 2

Set the factor '(7u + -3y)' equal to zero and attempt to solve: Simplifying 7u + -3y = 0 Solving 7u + -3y = 0 Move all terms containing u to the left, all other terms to the right. Add '3y' to each side of the equation. 7u + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7u + 0 = 0 + 3y 7u = 0 + 3y Remove the zero: 7u = 3y Divide each side by '7'. u = 0.4285714286y Simplifying u = 0.4285714286y

Solution

u = {0.4285714286y, 0.4285714286y}

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