(2x-5z)(5x-7z)=

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Solution for (2x-5z)(5x-7z)= equation: 


Simplifying
(2x + -5z)(5x + -7z) = 0

Multiply (2x + -5z) * (5x + -7z)
(2x * (5x + -7z) + -5z * (5x + -7z)) = 0
((5x * 2x + -7z * 2x) + -5z * (5x + -7z)) = 0

Reorder the terms:
((-14xz + 10x2) + -5z * (5x + -7z)) = 0
((-14xz + 10x2) + -5z * (5x + -7z)) = 0
(-14xz + 10x2 + (5x * -5z + -7z * -5z)) = 0
(-14xz + 10x2 + (-25xz + 35z2)) = 0

Reorder the terms:
(-14xz + -25xz + 10x2 + 35z2) = 0

Combine like terms: -14xz + -25xz = -39xz
(-39xz + 10x2 + 35z2) = 0

Solving
-39xz + 10x2 + 35z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -5z)(5x + -7z) = 0


Subproblem 1
Set the factor '(2x + -5z)' equal to zero and attempt to solve:

Simplifying
2x + -5z = 0

Solving
2x + -5z = 0

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

Add '5z' to each side of the equation.
2x + -5z + 5z = 0 + 5z

Combine like terms: -5z + 5z = 0
2x + 0 = 0 + 5z
2x = 0 + 5z
Remove the zero:
2x = 5z

Divide each side by '2'.
x = 2.5z

Simplifying
x = 2.5z

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 = {2.5z, 1.4z}

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