9x^2-6x+1=4x^2+16x+16

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Solution for 9x^2-6x+1=4x^2+16x+16 equation: 


Simplifying
9x2 + -6x + 1 = 4x2 + 16x + 16

Reorder the terms:
1 + -6x + 9x2 = 4x2 + 16x + 16

Reorder the terms:
1 + -6x + 9x2 = 16 + 16x + 4x2

Solving
1 + -6x + 9x2 = 16 + 16x + 4x2

Solving for variable 'x'.

Reorder the terms:
1 + -16 + -6x + -16x + 9x2 + -4x2 = 16 + 16x + 4x2 + -16 + -16x + -4x2

Combine like terms: 1 + -16 = -15
-15 + -6x + -16x + 9x2 + -4x2 = 16 + 16x + 4x2 + -16 + -16x + -4x2

Combine like terms: -6x + -16x = -22x
-15 + -22x + 9x2 + -4x2 = 16 + 16x + 4x2 + -16 + -16x + -4x2

Combine like terms: 9x2 + -4x2 = 5x2
-15 + -22x + 5x2 = 16 + 16x + 4x2 + -16 + -16x + -4x2

Reorder the terms:
-15 + -22x + 5x2 = 16 + -16 + 16x + -16x + 4x2 + -4x2

Combine like terms: 16 + -16 = 0
-15 + -22x + 5x2 = 0 + 16x + -16x + 4x2 + -4x2
-15 + -22x + 5x2 = 16x + -16x + 4x2 + -4x2

Combine like terms: 16x + -16x = 0
-15 + -22x + 5x2 = 0 + 4x2 + -4x2
-15 + -22x + 5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + -22x + 5x2 = 0

Factor a trinomial.
(-3 + -5x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-0.6, 5}

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