X^2-14X+49=2X^2-16X+25

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Solution for X^2-14X+49=2X^2-16X+25 equation: 


Simplifying
X2 + -14X + 49 = 2X2 + -16X + 25

Reorder the terms:
49 + -14X + X2 = 2X2 + -16X + 25

Reorder the terms:
49 + -14X + X2 = 25 + -16X + 2X2

Solving
49 + -14X + X2 = 25 + -16X + 2X2

Solving for variable 'X'.

Reorder the terms:
49 + -25 + -14X + 16X + X2 + -2X2 = 25 + -16X + 2X2 + -25 + 16X + -2X2

Combine like terms: 49 + -25 = 24
24 + -14X + 16X + X2 + -2X2 = 25 + -16X + 2X2 + -25 + 16X + -2X2

Combine like terms: -14X + 16X = 2X
24 + 2X + X2 + -2X2 = 25 + -16X + 2X2 + -25 + 16X + -2X2

Combine like terms: X2 + -2X2 = -1X2
24 + 2X + -1X2 = 25 + -16X + 2X2 + -25 + 16X + -2X2

Reorder the terms:
24 + 2X + -1X2 = 25 + -25 + -16X + 16X + 2X2 + -2X2

Combine like terms: 25 + -25 = 0
24 + 2X + -1X2 = 0 + -16X + 16X + 2X2 + -2X2
24 + 2X + -1X2 = -16X + 16X + 2X2 + -2X2

Combine like terms: -16X + 16X = 0
24 + 2X + -1X2 = 0 + 2X2 + -2X2
24 + 2X + -1X2 = 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
24 + 2X + -1X2 = 0

Factor a trinomial.
(6 + -1X)(4 + X) = 0


Subproblem 1
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6

Subproblem 2
Set the factor '(4 + X)' equal to zero and attempt to solve:

Simplifying
4 + X = 0

Solving
4 + X = 0

Move all terms containing X to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X = 0 + -4
X = 0 + -4

Combine like terms: 0 + -4 = -4
X = -4

Simplifying
X = -4
Solution
X = {6, -4}

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