(5x+4z)(2x-7z)=

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Solution for (5x+4z)(2x-7z)= equation: 


Simplifying
(5x + 4z)(2x + -7z) = 0

Multiply (5x + 4z) * (2x + -7z)
(5x * (2x + -7z) + 4z * (2x + -7z)) = 0
((2x * 5x + -7z * 5x) + 4z * (2x + -7z)) = 0

Reorder the terms:
((-35xz + 10x2) + 4z * (2x + -7z)) = 0
((-35xz + 10x2) + 4z * (2x + -7z)) = 0
(-35xz + 10x2 + (2x * 4z + -7z * 4z)) = 0
(-35xz + 10x2 + (8xz + -28z2)) = 0

Reorder the terms:
(-35xz + 8xz + 10x2 + -28z2) = 0

Combine like terms: -35xz + 8xz = -27xz
(-27xz + 10x2 + -28z2) = 0

Solving
-27xz + 10x2 + -28z2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -7z)(5x + 4z) = 0


Subproblem 1
Set the factor '(2x + -7z)' equal to zero and attempt to solve:

Simplifying
2x + -7z = 0

Solving
2x + -7z = 0

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

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

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

Divide each side by '2'.
x = 3.5z

Simplifying
x = 3.5z

Subproblem 2
Set the factor '(5x + 4z)' equal to zero and attempt to solve:

Simplifying
5x + 4z = 0

Solving
5x + 4z = 0

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

Add '-4z' to each side of the equation.
5x + 4z + -4z = 0 + -4z

Combine like terms: 4z + -4z = 0
5x + 0 = 0 + -4z
5x = 0 + -4z
Remove the zero:
5x = -4z

Divide each side by '5'.
x = -0.8z

Simplifying
x = -0.8z
Solution
x = {3.5z, -0.8z}

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