2x-3x(23y)=15x

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Solution for 2x-3x(23y)=15x equation:


Simplifying
2x + -3x(23y) = 15x

Remove parenthesis around (23y)
2x + -3x * 23y = 15x

Reorder the terms for easier multiplication:
2x + -3 * 23x * y = 15x

Multiply -3 * 23
2x + -69x * y = 15x

Multiply x * y
2x + -69xy = 15x

Solving
2x + -69xy = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2x + -15x + -69xy = 15x + -15x

Combine like terms: 2x + -15x = -13x
-13x + -69xy = 15x + -15x

Combine like terms: 15x + -15x = 0
-13x + -69xy = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(13 + 69y) = 0

Ignore the factor -1.

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 '(13 + 69y)' equal to zero and attempt to solve: Simplifying 13 + 69y = 0 Solving 13 + 69y = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 69y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 69y = 0 + -13 69y = 0 + -13 Combine like terms: 0 + -13 = -13 69y = -13 Add '-69y' to each side of the equation. 69y + -69y = -13 + -69y Combine like terms: 69y + -69y = 0 0 = -13 + -69y Simplifying 0 = -13 + -69y 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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