4x*x+20x+25=x*x+6x+9

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Solution for 4x*x+20x+25=x*x+6x+9 equation: 


Simplifying
4x * x + 20x + 25 = x * x + 6x + 9

Multiply x * x
4x2 + 20x + 25 = x * x + 6x + 9

Reorder the terms:
25 + 20x + 4x2 = x * x + 6x + 9

Multiply x * x
25 + 20x + 4x2 = x2 + 6x + 9

Reorder the terms:
25 + 20x + 4x2 = 9 + 6x + x2

Solving
25 + 20x + 4x2 = 9 + 6x + x2

Solving for variable 'x'.

Reorder the terms:
25 + -9 + 20x + -6x + 4x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 25 + -9 = 16
16 + 20x + -6x + 4x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 20x + -6x = 14x
16 + 14x + 4x2 + -1x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
16 + 14x + 3x2 = 9 + 6x + x2 + -9 + -6x + -1x2

Reorder the terms:
16 + 14x + 3x2 = 9 + -9 + 6x + -6x + x2 + -1x2

Combine like terms: 9 + -9 = 0
16 + 14x + 3x2 = 0 + 6x + -6x + x2 + -1x2
16 + 14x + 3x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
16 + 14x + 3x2 = 0 + x2 + -1x2
16 + 14x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 14x + 3x2 = 0

Factor a trinomial.
(8 + 3x)(2 + x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {-2.666666667, -2}

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