2x^2+7=5x-11

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Solution for 2x^2+7=5x-11 equation:


Simplifying
2x2 + 7 = 5x + -11

Reorder the terms:
7 + 2x2 = 5x + -11

Reorder the terms:
7 + 2x2 = -11 + 5x

Solving
7 + 2x2 = -11 + 5x

Solving for variable 'x'.

Reorder the terms:
7 + 11 + -5x + 2x2 = -11 + 5x + 11 + -5x

Combine like terms: 7 + 11 = 18
18 + -5x + 2x2 = -11 + 5x + 11 + -5x

Reorder the terms:
18 + -5x + 2x2 = -11 + 11 + 5x + -5x

Combine like terms: -11 + 11 = 0
18 + -5x + 2x2 = 0 + 5x + -5x
18 + -5x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -5x + 2x2 = 0

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

Divide each side by '2'.
9 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -2.5x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -2.5x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2.5x + x2 = 0 + -9
-2.5x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2.5x + x2 = -9

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -9 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -9 + 1.5625

Combine like terms: -9 + 1.5625 = -7.4375
1.5625 + -2.5x + x2 = -7.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -7.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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