2x^2+x+7=4x+5

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Solution for 2x^2+x+7=4x+5 equation: 


Simplifying
2x2 + x + 7 = 4x + 5

Reorder the terms:
7 + x + 2x2 = 4x + 5

Reorder the terms:
7 + x + 2x2 = 5 + 4x

Solving
7 + x + 2x2 = 5 + 4x

Solving for variable 'x'.

Reorder the terms:
7 + -5 + x + -4x + 2x2 = 5 + 4x + -5 + -4x

Combine like terms: 7 + -5 = 2
2 + x + -4x + 2x2 = 5 + 4x + -5 + -4x

Combine like terms: x + -4x = -3x
2 + -3x + 2x2 = 5 + 4x + -5 + -4x

Reorder the terms:
2 + -3x + 2x2 = 5 + -5 + 4x + -4x

Combine like terms: 5 + -5 = 0
2 + -3x + 2x2 = 0 + 4x + -4x
2 + -3x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -3x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
1 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5x + x2 = 0 + -1
-1.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.5x + x2 = -1

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1 + 0.5625

Combine like terms: -1 + 0.5625 = -0.4375
0.5625 + -1.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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