2absolute(2x+1)+1=19

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Solution for 2absolute(2x+1)+1=19 equation:


Simplifying
2absolute(2x + 1) + 1 = 19

Reorder the terms:
2abelostu(1 + 2x) + 1 = 19
(1 * 2abelostu + 2x * 2abelostu) + 1 = 19
(2abelostu + 4abelostux) + 1 = 19

Reorder the terms:
1 + 2abelostu + 4abelostux = 19

Solving
1 + 2abelostu + 4abelostux = 19

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + 2abelostu + -1 + 4abelostux = 19 + -1

Reorder the terms:
1 + -1 + 2abelostu + 4abelostux = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 2abelostu + 4abelostux = 19 + -1
2abelostu + 4abelostux = 19 + -1

Combine like terms: 19 + -1 = 18
2abelostu + 4abelostux = 18

Reorder the terms:
-18 + 2abelostu + 4abelostux = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 2abelostu + 4abelostux = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + abelostu + 2abelostux) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-9 + abelostu + 2abelostux)' equal to zero and attempt to solve: Simplifying -9 + abelostu + 2abelostux = 0 Solving -9 + abelostu + 2abelostux = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + abelostu + 9 + 2abelostux = 0 + 9 Reorder the terms: -9 + 9 + abelostu + 2abelostux = 0 + 9 Combine like terms: -9 + 9 = 0 0 + abelostu + 2abelostux = 0 + 9 abelostu + 2abelostux = 0 + 9 Combine like terms: 0 + 9 = 9 abelostu + 2abelostux = 9 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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