2x^2+14x-49=x^2+16x-64

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Solution for 2x^2+14x-49=x^2+16x-64 equation:


Simplifying
2x2 + 14x + -49 = x2 + 16x + -64

Reorder the terms:
-49 + 14x + 2x2 = x2 + 16x + -64

Reorder the terms:
-49 + 14x + 2x2 = -64 + 16x + x2

Solving
-49 + 14x + 2x2 = -64 + 16x + x2

Solving for variable 'x'.

Reorder the terms:
-49 + 64 + 14x + -16x + 2x2 + -1x2 = -64 + 16x + x2 + 64 + -16x + -1x2

Combine like terms: -49 + 64 = 15
15 + 14x + -16x + 2x2 + -1x2 = -64 + 16x + x2 + 64 + -16x + -1x2

Combine like terms: 14x + -16x = -2x
15 + -2x + 2x2 + -1x2 = -64 + 16x + x2 + 64 + -16x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
15 + -2x + 1x2 = -64 + 16x + x2 + 64 + -16x + -1x2

Reorder the terms:
15 + -2x + 1x2 = -64 + 64 + 16x + -16x + x2 + -1x2

Combine like terms: -64 + 64 = 0
15 + -2x + 1x2 = 0 + 16x + -16x + x2 + -1x2
15 + -2x + 1x2 = 16x + -16x + x2 + -1x2

Combine like terms: 16x + -16x = 0
15 + -2x + 1x2 = 0 + x2 + -1x2
15 + -2x + 1x2 = x2 + -1x2

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

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -2x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -2x + x2 = 0 + -15

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

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

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 = -15 + 1

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

Combine like terms: -15 + 1 = -14
1 + -2x + x2 = -14

Factor a perfect square on the left side:
(x + -1)(x + -1) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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