(5x+7z)(5x+7z)=

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Solution for (5x+7z)(5x+7z)= equation: 


Simplifying
(5x + 7z)(5x + 7z) = 0

Multiply (5x + 7z) * (5x + 7z)
(5x * (5x + 7z) + 7z * (5x + 7z)) = 0
((5x * 5x + 7z * 5x) + 7z * (5x + 7z)) = 0

Reorder the terms:
((35xz + 25x2) + 7z * (5x + 7z)) = 0
((35xz + 25x2) + 7z * (5x + 7z)) = 0
(35xz + 25x2 + (5x * 7z + 7z * 7z)) = 0
(35xz + 25x2 + (35xz + 49z2)) = 0

Reorder the terms:
(35xz + 35xz + 25x2 + 49z2) = 0

Combine like terms: 35xz + 35xz = 70xz
(70xz + 25x2 + 49z2) = 0

Solving
70xz + 25x2 + 49z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5x + 7z)(5x + 7z) = 0


Subproblem 1
Set the factor '(5x + 7z)' equal to zero and attempt to solve:

Simplifying
5x + 7z = 0

Solving
5x + 7z = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7z' to each side of the equation.
5x + 7z + -7z = 0 + -7z

Combine like terms: 7z + -7z = 0
5x + 0 = 0 + -7z
5x = 0 + -7z
Remove the zero:
5x = -7z

Divide each side by '5'.
x = -1.4z

Simplifying
x = -1.4z

Subproblem 2
Set the factor '(5x + 7z)' equal to zero and attempt to solve:

Simplifying
5x + 7z = 0

Solving
5x + 7z = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7z' to each side of the equation.
5x + 7z + -7z = 0 + -7z

Combine like terms: 7z + -7z = 0
5x + 0 = 0 + -7z
5x = 0 + -7z
Remove the zero:
5x = -7z

Divide each side by '5'.
x = -1.4z

Simplifying
x = -1.4z
Solution
x = {-1.4z, -1.4z}

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