(2x-1)(5d+5)=0

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Solution for (2x-1)(5d+5)=0 equation:


Simplifying
(2x + -1)(5d + 5) = 0

Reorder the terms:
(-1 + 2x)(5d + 5) = 0

Reorder the terms:
(-1 + 2x)(5 + 5d) = 0

Multiply (-1 + 2x) * (5 + 5d)
(-1(5 + 5d) + 2x * (5 + 5d)) = 0
((5 * -1 + 5d * -1) + 2x * (5 + 5d)) = 0
((-5 + -5d) + 2x * (5 + 5d)) = 0
(-5 + -5d + (5 * 2x + 5d * 2x)) = 0

Reorder the terms:
(-5 + -5d + (10dx + 10x)) = 0
(-5 + -5d + (10dx + 10x)) = 0
(-5 + -5d + 10dx + 10x) = 0

Solving
-5 + -5d + 10dx + 10x = 0

Solving for variable 'd'.

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

Add '5' to each side of the equation.
-5 + -5d + 10dx + 5 + 10x = 0 + 5

Reorder the terms:
-5 + 5 + -5d + 10dx + 10x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -5d + 10dx + 10x = 0 + 5
-5d + 10dx + 10x = 0 + 5

Combine like terms: 0 + 5 = 5
-5d + 10dx + 10x = 5

Add '-10x' to each side of the equation.
-5d + 10dx + 10x + -10x = 5 + -10x

Combine like terms: 10x + -10x = 0
-5d + 10dx + 0 = 5 + -10x
-5d + 10dx = 5 + -10x

Reorder the terms:
-5 + -5d + 10dx + 10x = 5 + -10x + -5 + 10x

Reorder the terms:
-5 + -5d + 10dx + 10x = 5 + -5 + -10x + 10x

Combine like terms: 5 + -5 = 0
-5 + -5d + 10dx + 10x = 0 + -10x + 10x
-5 + -5d + 10dx + 10x = -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + -5d + 10dx + 10x = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-1 + -1d + 2dx + 2x) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-1 + -1d + 2dx + 2x)' equal to zero and attempt to solve: Simplifying -1 + -1d + 2dx + 2x = 0 Solving -1 + -1d + 2dx + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1d + 2dx + 1 + 2x = 0 + 1 Reorder the terms: -1 + 1 + -1d + 2dx + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1d + 2dx + 2x = 0 + 1 -1d + 2dx + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 -1d + 2dx + 2x = 1 Add '-2x' to each side of the equation. -1d + 2dx + 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 -1d + 2dx + 0 = 1 + -2x -1d + 2dx = 1 + -2x 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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