1x*1x+12=1x+2*x+5

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Solution for 1x*1x+12=1x+2*x+5 equation:


Simplifying
1x * 1x + 12 = 1x + 2x + 5

Reorder the terms for easier multiplication:
1 * 1x * x + 12 = 1x + 2x + 5

Multiply 1 * 1
1x * x + 12 = 1x + 2x + 5

Multiply x * x
1x2 + 12 = 1x + 2x + 5

Reorder the terms:
12 + 1x2 = 1x + 2x + 5

Reorder the terms:
12 + 1x2 = 5 + 1x + 2x

Combine like terms: 1x + 2x = 3x
12 + 1x2 = 5 + 3x

Solving
12 + 1x2 = 5 + 3x

Solving for variable 'x'.

Reorder the terms:
12 + -5 + -3x + 1x2 = 5 + 3x + -5 + -3x

Combine like terms: 12 + -5 = 7
7 + -3x + 1x2 = 5 + 3x + -5 + -3x

Reorder the terms:
7 + -3x + 1x2 = 5 + -5 + 3x + -3x

Combine like terms: 5 + -5 = 0
7 + -3x + 1x2 = 0 + 3x + -3x
7 + -3x + 1x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -3x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -3x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -3x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x + x2 = 0 + -7
-3x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-3x + x2 = -7

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -7 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -7 + 2.25

Combine like terms: -7 + 2.25 = -4.75
2.25 + -3x + x2 = -4.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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