2x(4+r)-5(8x-2r)=

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Solution for 2x(4+r)-5(8x-2r)= equation: 


Simplifying
2x(4 + r) + -5(8x + -2r) = 0
(4 * 2x + r * 2x) + -5(8x + -2r) = 0

Reorder the terms:
(2rx + 8x) + -5(8x + -2r) = 0
(2rx + 8x) + -5(8x + -2r) = 0

Reorder the terms:
2rx + 8x + -5(-2r + 8x) = 0
2rx + 8x + (-2r * -5 + 8x * -5) = 0
2rx + 8x + (10r + -40x) = 0

Reorder the terms:
10r + 2rx + 8x + -40x = 0

Combine like terms: 8x + -40x = -32x
10r + 2rx + -32x = 0

Solving
10r + 2rx + -32x = 0

Solving for variable 'r'.

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

Add '32x' to each side of the equation.
10r + 2rx + -32x + 32x = 0 + 32x

Combine like terms: -32x + 32x = 0
10r + 2rx + 0 = 0 + 32x
10r + 2rx = 0 + 32x
Remove the zero:
10r + 2rx = 32x

Combine like terms: 32x + -32x = 0
10r + 2rx + -32x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5r + rx + -16x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5r + rx + -16x)' equal to zero and attempt to solve:

Simplifying
5r + rx + -16x = 0

Solving
5r + rx + -16x = 0

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

Add '16x' to each side of the equation.
5r + rx + -16x + 16x = 0 + 16x

Combine like terms: -16x + 16x = 0
5r + rx + 0 = 0 + 16x
5r + rx = 0 + 16x
Remove the zero:
5r + rx = 16x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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