4x^2-16x+16=x^2-12x+36

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Solution for 4x^2-16x+16=x^2-12x+36 equation: 


Simplifying
4x2 + -16x + 16 = x2 + -12x + 36

Reorder the terms:
16 + -16x + 4x2 = x2 + -12x + 36

Reorder the terms:
16 + -16x + 4x2 = 36 + -12x + x2

Solving
16 + -16x + 4x2 = 36 + -12x + x2

Solving for variable 'x'.

Reorder the terms:
16 + -36 + -16x + 12x + 4x2 + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2

Combine like terms: 16 + -36 = -20
-20 + -16x + 12x + 4x2 + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2

Combine like terms: -16x + 12x = -4x
-20 + -4x + 4x2 + -1x2 = 36 + -12x + x2 + -36 + 12x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-20 + -4x + 3x2 = 36 + -12x + x2 + -36 + 12x + -1x2

Reorder the terms:
-20 + -4x + 3x2 = 36 + -36 + -12x + 12x + x2 + -1x2

Combine like terms: 36 + -36 = 0
-20 + -4x + 3x2 = 0 + -12x + 12x + x2 + -1x2
-20 + -4x + 3x2 = -12x + 12x + x2 + -1x2

Combine like terms: -12x + 12x = 0
-20 + -4x + 3x2 = 0 + x2 + -1x2
-20 + -4x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + -4x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -3x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-2, 3.333333333}

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