(2x-y-1)(5x)=

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Solution for (2x-y-1)(5x)= equation:


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

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

Remove parenthesis around (5x)
(-1 + 2x + -1y) * 5x = 0

Reorder the terms for easier multiplication:
5x(-1 + 2x + -1y) = 0
(-1 * 5x + 2x * 5x + -1y * 5x) = 0

Reorder the terms:
(-5x + -5xy + 10x2) = 0
(-5x + -5xy + 10x2) = 0

Solving
-5x + -5xy + 10x2 = 0

Solving for variable 'x'.

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

Ignore the factor 5.

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 '(-1 + -1y + 2x)' equal to zero and attempt to solve: Simplifying -1 + -1y + 2x = 0 Reorder the terms: -1 + 2x + -1y = 0 Solving -1 + 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 1 + -1y = 0 + 1 Reorder the terms: -1 + 1 + 2x + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + -1y = 0 + 1 2x + -1y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + -1y = 1 Add 'y' to each side of the equation. 2x + -1y + y = 1 + y Combine like terms: -1y + y = 0 2x + 0 = 1 + y 2x = 1 + y Divide each side by '2'. x = 0.5 + 0.5y Simplifying x = 0.5 + 0.5y

Solution

x = {0, 0.5 + 0.5y}

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