21+1x*1x=14+1x+1*1x+1

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Solution for 21+1x*1x=14+1x+1*1x+1 equation:


Simplifying
21 + 1x * 1x = 14 + 1x + 1 * 1x + 1

Reorder the terms for easier multiplication:
21 + 1 * 1x * x = 14 + 1x + 1 * 1x + 1

Multiply 1 * 1
21 + 1x * x = 14 + 1x + 1 * 1x + 1

Multiply x * x
21 + 1x2 = 14 + 1x + 1 * 1x + 1

Multiply 1 * 1
21 + 1x2 = 14 + 1x + 1x + 1

Reorder the terms:
21 + 1x2 = 14 + 1 + 1x + 1x

Combine like terms: 14 + 1 = 15
21 + 1x2 = 15 + 1x + 1x

Combine like terms: 1x + 1x = 2x
21 + 1x2 = 15 + 2x

Solving
21 + 1x2 = 15 + 2x

Solving for variable 'x'.

Reorder the terms:
21 + -15 + -2x + 1x2 = 15 + 2x + -15 + -2x

Combine like terms: 21 + -15 = 6
6 + -2x + 1x2 = 15 + 2x + -15 + -2x

Reorder the terms:
6 + -2x + 1x2 = 15 + -15 + 2x + -2x

Combine like terms: 15 + -15 = 0
6 + -2x + 1x2 = 0 + 2x + -2x
6 + -2x + 1x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -2x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2x + x2 = 0 + -6
-2x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2x + x2 = -6

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -6 + 1

Reorder the terms:
1 + -2x + x2 = -6 + 1

Combine like terms: -6 + 1 = -5
1 + -2x + x2 = -5

Factor a perfect square on the left side:
(x + -1)(x + -1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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