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

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


Simplifying
x(2 + -4x) + x(2z + 5x) = 0
(2 * x + -4x * x) + x(2z + 5x) = 0
(2x + -4x2) + x(2z + 5x) = 0

Reorder the terms:
2x + -4x2 + x(5x + 2z) = 0
2x + -4x2 + (5x * x + 2z * x) = 0

Reorder the terms:
2x + -4x2 + (2xz + 5x2) = 0
2x + -4x2 + (2xz + 5x2) = 0

Reorder the terms:
2x + 2xz + -4x2 + 5x2 = 0

Combine like terms: -4x2 + 5x2 = 1x2
2x + 2xz + 1x2 = 0

Solving
2x + 2xz + 1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + 2z + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
2 + 2z + x = 0

Reorder the terms:
2 + x + 2z = 0

Solving
2 + x + 2z = 0

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

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

Reorder the terms:
2 + -2 + x + 2z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x + 2z = 0 + -2
x + 2z = 0 + -2

Combine like terms: 0 + -2 = -2
x + 2z = -2

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

Combine like terms: 2z + -2z = 0
x + 0 = -2 + -2z
x = -2 + -2z

Simplifying
x = -2 + -2z
Solution
x = {0, -2 + -2z}

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