Solve(x+1)2+6=42forx

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Solution for Solve(x+1)2+6=42forx equation:


Simplifying
Solve(x + 1) * 2 + 6 = 42forx

Reorder the terms:
elovS(1 + x) * 2 + 6 = 42forx

Reorder the terms for easier multiplication:
2elovS(1 + x) + 6 = 42forx
(1 * 2elovS + x * 2elovS) + 6 = 42forx
(2elovS + 2elovxS) + 6 = 42forx

Reorder the terms:
6 + 2elovS + 2elovxS = 42forx

Solving
6 + 2elovS + 2elovxS = 42forx

Solving for variable 'e'.

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

Add '-6' to each side of the equation.
6 + 2elovS + -6 + 2elovxS = -6 + 42forx

Reorder the terms:
6 + -6 + 2elovS + 2elovxS = -6 + 42forx

Combine like terms: 6 + -6 = 0
0 + 2elovS + 2elovxS = -6 + 42forx
2elovS + 2elovxS = -6 + 42forx

Reorder the terms:
6 + 2elovS + 2elovxS + -42forx = -6 + 42forx + 6 + -42forx

Reorder the terms:
6 + 2elovS + 2elovxS + -42forx = -6 + 6 + 42forx + -42forx

Combine like terms: -6 + 6 = 0
6 + 2elovS + 2elovxS + -42forx = 0 + 42forx + -42forx
6 + 2elovS + 2elovxS + -42forx = 42forx + -42forx

Combine like terms: 42forx + -42forx = 0
6 + 2elovS + 2elovxS + -42forx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + elovS + elovxS + -21forx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + elovS + elovxS + -21forx)' equal to zero and attempt to solve: Simplifying 3 + elovS + elovxS + -21forx = 0 Solving 3 + elovS + elovxS + -21forx = 0 Move all terms containing e to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + elovS + elovxS + -3 + -21forx = 0 + -3 Reorder the terms: 3 + -3 + elovS + elovxS + -21forx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + elovS + elovxS + -21forx = 0 + -3 elovS + elovxS + -21forx = 0 + -3 Combine like terms: 0 + -3 = -3 elovS + elovxS + -21forx = -3 Add '21forx' to each side of the equation. elovS + elovxS + -21forx + 21forx = -3 + 21forx Combine like terms: -21forx + 21forx = 0 elovS + elovxS + 0 = -3 + 21forx elovS + elovxS = -3 + 21forx 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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