(7x-6y)(7x-6y)=

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Solution for (7x-6y)(7x-6y)= equation:


Simplifying
(7x + -6y)(7x + -6y) = 0

Multiply (7x + -6y) * (7x + -6y)
(7x * (7x + -6y) + -6y * (7x + -6y)) = 0
((7x * 7x + -6y * 7x) + -6y * (7x + -6y)) = 0

Reorder the terms:
((-42xy + 49x2) + -6y * (7x + -6y)) = 0
((-42xy + 49x2) + -6y * (7x + -6y)) = 0
(-42xy + 49x2 + (7x * -6y + -6y * -6y)) = 0
(-42xy + 49x2 + (-42xy + 36y2)) = 0

Reorder the terms:
(-42xy + -42xy + 49x2 + 36y2) = 0

Combine like terms: -42xy + -42xy = -84xy
(-84xy + 49x2 + 36y2) = 0

Solving
-84xy + 49x2 + 36y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7x + -6y)(7x + -6y) = 0

Subproblem 1

Set the factor '(7x + -6y)' equal to zero and attempt to solve: Simplifying 7x + -6y = 0 Solving 7x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 7x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 7x + 0 = 0 + 6y 7x = 0 + 6y Remove the zero: 7x = 6y Divide each side by '7'. x = 0.8571428571y Simplifying x = 0.8571428571y

Subproblem 2

Set the factor '(7x + -6y)' equal to zero and attempt to solve: Simplifying 7x + -6y = 0 Solving 7x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 7x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 7x + 0 = 0 + 6y 7x = 0 + 6y Remove the zero: 7x = 6y Divide each side by '7'. x = 0.8571428571y Simplifying x = 0.8571428571y

Solution

x = {0.8571428571y, 0.8571428571y}

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