(X+10)(4x-35)x=

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Solution for (X+10)(4x-35)x= equation: 


Simplifying
(X + 10)(4x + -35) * x = 0

Reorder the terms:
(10 + X)(4x + -35) * x = 0

Reorder the terms:
(10 + X)(-35 + 4x) * x = 0

Reorder the terms for easier multiplication:
x(10 + X)(-35 + 4x) = 0

Multiply (10 + X) * (-35 + 4x)
x(10(-35 + 4x) + X(-35 + 4x)) = 0
x((-35 * 10 + 4x * 10) + X(-35 + 4x)) = 0
x((-350 + 40x) + X(-35 + 4x)) = 0
x(-350 + 40x + (-35 * X + 4x * X)) = 0
x(-350 + 40x + (-35X + 4xX)) = 0

Reorder the terms:
x(-350 + -35X + 40x + 4xX) = 0
x(-350 + -35X + 40x + 4xX) = 0
(-350 * x + -35X * x + 40x * x + 4xX * x) = 0
(-350x + -35xX + 40x2 + 4x2X) = 0

Solving
-350x + -35xX + 40x2 + 4x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-350 + -35X + 40x + 4xX) = 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 '(-350 + -35X + 40x + 4xX)' equal to zero and attempt to solve:

Simplifying
-350 + -35X + 40x + 4xX = 0

Solving
-350 + -35X + 40x + 4xX = 0

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

Add '350' to each side of the equation.
-350 + -35X + 40x + 350 + 4xX = 0 + 350

Reorder the terms:
-350 + 350 + -35X + 40x + 4xX = 0 + 350

Combine like terms: -350 + 350 = 0
0 + -35X + 40x + 4xX = 0 + 350
-35X + 40x + 4xX = 0 + 350

Combine like terms: 0 + 350 = 350
-35X + 40x + 4xX = 350

Add '35X' to each side of the equation.
-35X + 40x + 35X + 4xX = 350 + 35X

Reorder the terms:
-35X + 35X + 40x + 4xX = 350 + 35X

Combine like terms: -35X + 35X = 0
0 + 40x + 4xX = 350 + 35X
40x + 4xX = 350 + 35X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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