2046=484(a*b)+22*(a+b)

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Solution for 2046=484(a*b)+22*(a+b) equation:


Simplifying
2046 = 484(a * b) + 22(a + b)

Multiply a * b
2046 = 484(ab) + 22(a + b)
2046 = 484ab + (a * 22 + b * 22)
2046 = 484ab + (22a + 22b)

Reorder the terms:
2046 = 22a + 484ab + 22b

Solving
2046 = 22a + 484ab + 22b

Solving for variable 'a'.

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

Add '-22a' to each side of the equation.
2046 + -22a = 22a + 484ab + -22a + 22b

Reorder the terms:
2046 + -22a = 22a + -22a + 484ab + 22b

Combine like terms: 22a + -22a = 0
2046 + -22a = 0 + 484ab + 22b
2046 + -22a = 484ab + 22b

Add '-484ab' to each side of the equation.
2046 + -22a + -484ab = 484ab + -484ab + 22b

Combine like terms: 484ab + -484ab = 0
2046 + -22a + -484ab = 0 + 22b
2046 + -22a + -484ab = 22b

Add '-2046' to each side of the equation.
2046 + -22a + -2046 + -484ab = -2046 + 22b

Reorder the terms:
2046 + -2046 + -22a + -484ab = -2046 + 22b

Combine like terms: 2046 + -2046 = 0
0 + -22a + -484ab = -2046 + 22b
-22a + -484ab = -2046 + 22b

Reorder the terms:
2046 + -22a + -484ab + -22b = -2046 + 22b + 2046 + -22b

Reorder the terms:
2046 + -22a + -484ab + -22b = -2046 + 2046 + 22b + -22b

Combine like terms: -2046 + 2046 = 0
2046 + -22a + -484ab + -22b = 0 + 22b + -22b
2046 + -22a + -484ab + -22b = 22b + -22b

Combine like terms: 22b + -22b = 0
2046 + -22a + -484ab + -22b = 0

Factor out the Greatest Common Factor (GCF), '22'.
22(93 + -1a + -22ab + -1b) = 0

Ignore the factor 22.

Subproblem 1

Set the factor '(93 + -1a + -22ab + -1b)' equal to zero and attempt to solve: Simplifying 93 + -1a + -22ab + -1b = 0 Solving 93 + -1a + -22ab + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -1a + -22ab + -93 + -1b = 0 + -93 Reorder the terms: 93 + -93 + -1a + -22ab + -1b = 0 + -93 Combine like terms: 93 + -93 = 0 0 + -1a + -22ab + -1b = 0 + -93 -1a + -22ab + -1b = 0 + -93 Combine like terms: 0 + -93 = -93 -1a + -22ab + -1b = -93 Add 'b' to each side of the equation. -1a + -22ab + -1b + b = -93 + b Combine like terms: -1b + b = 0 -1a + -22ab + 0 = -93 + b -1a + -22ab = -93 + b 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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