49=16+4x^2-16x

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Solution for 49=16+4x^2-16x equation: 


Simplifying
49 = 16 + 4x2 + -16x

Reorder the terms:
49 = 16 + -16x + 4x2

Solving
49 = 16 + -16x + 4x2

Solving for variable 'x'.

Combine like terms: 49 + -16 = 33
33 + 16x + -4x2 = 16 + -16x + 4x2 + -16 + 16x + -4x2

Reorder the terms:
33 + 16x + -4x2 = 16 + -16 + -16x + 16x + 4x2 + -4x2

Combine like terms: 16 + -16 = 0
33 + 16x + -4x2 = 0 + -16x + 16x + 4x2 + -4x2
33 + 16x + -4x2 = -16x + 16x + 4x2 + -4x2

Combine like terms: -16x + 16x = 0
33 + 16x + -4x2 = 0 + 4x2 + -4x2
33 + 16x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
33 + 16x + -4x2 = 0

Factor a trinomial.
(11 + -2x)(3 + 2x) = 0


Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {5.5, -1.5}

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