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

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


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

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

Reorder the terms:
((4xz + 14x2) + -5z * (7x + 2z)) = 0
((4xz + 14x2) + -5z * (7x + 2z)) = 0
(4xz + 14x2 + (7x * -5z + 2z * -5z)) = 0
(4xz + 14x2 + (-35xz + -10z2)) = 0

Reorder the terms:
(4xz + -35xz + 14x2 + -10z2) = 0

Combine like terms: 4xz + -35xz = -31xz
(-31xz + 14x2 + -10z2) = 0

Solving
-31xz + 14x2 + -10z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -5z)(7x + 2z) = 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 '(7x + 2z)' equal to zero and attempt to solve:

Simplifying
7x + 2z = 0

Solving
7x + 2z = 0

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

Add '-2z' to each side of the equation.
7x + 2z + -2z = 0 + -2z

Combine like terms: 2z + -2z = 0
7x + 0 = 0 + -2z
7x = 0 + -2z
Remove the zero:
7x = -2z

Divide each side by '7'.
x = -0.2857142857z

Simplifying
x = -0.2857142857z
Solution
x = {2.5z, -0.2857142857z}

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