(6x)(11y)4x+16=180

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Solution for (6x)(11y)4x+16=180 equation:


Simplifying
(6x)(11y) * 4x + 16 = 180

Remove parenthesis around (6x)
6x(11y) * 4x + 16 = 180

Remove parenthesis around (11y)
6x * 11y * 4x + 16 = 180

Reorder the terms for easier multiplication:
6 * 11 * 4x * y * x + 16 = 180

Multiply 6 * 11
66 * 4x * y * x + 16 = 180

Multiply 66 * 4
264x * y * x + 16 = 180

Multiply x * y
264xy * x + 16 = 180

Multiply xy * x
264x2y + 16 = 180

Reorder the terms:
16 + 264x2y = 180

Solving
16 + 264x2y = 180

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 264x2y = 180 + -16

Combine like terms: 16 + -16 = 0
0 + 264x2y = 180 + -16
264x2y = 180 + -16

Combine like terms: 180 + -16 = 164
264x2y = 164

Divide each side by '264y'.
x2 = 0.6212121212y-1

Simplifying
x2 = 0.6212121212y-1

Combine like terms: 0.6212121212y-1 + -0.6212121212y-1 = 0.0000000000
x2 + -0.6212121212y-1 = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -0.6212121212) = 0.0000000000

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(x2y + -0.6212121212)' equal to zero and attempt to solve: Simplifying x2y + -0.6212121212 = 0 Reorder the terms: -0.6212121212 + x2y = 0 Solving -0.6212121212 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '0.6212121212' to each side of the equation. -0.6212121212 + 0.6212121212 + x2y = 0 + 0.6212121212 Combine like terms: -0.6212121212 + 0.6212121212 = 0.0000000000 0.0000000000 + x2y = 0 + 0.6212121212 x2y = 0 + 0.6212121212 Combine like terms: 0 + 0.6212121212 = 0.6212121212 x2y = 0.6212121212 Divide each side by 'y'. x2 = 0.6212121212y-1 Simplifying x2 = 0.6212121212y-1 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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