25x^2+30x+9=4x^2-4x+1

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Solution for 25x^2+30x+9=4x^2-4x+1 equation: 


Simplifying
25x2 + 30x + 9 = 4x2 + -4x + 1

Reorder the terms:
9 + 30x + 25x2 = 4x2 + -4x + 1

Reorder the terms:
9 + 30x + 25x2 = 1 + -4x + 4x2

Solving
9 + 30x + 25x2 = 1 + -4x + 4x2

Solving for variable 'x'.

Reorder the terms:
9 + -1 + 30x + 4x + 25x2 + -4x2 = 1 + -4x + 4x2 + -1 + 4x + -4x2

Combine like terms: 9 + -1 = 8
8 + 30x + 4x + 25x2 + -4x2 = 1 + -4x + 4x2 + -1 + 4x + -4x2

Combine like terms: 30x + 4x = 34x
8 + 34x + 25x2 + -4x2 = 1 + -4x + 4x2 + -1 + 4x + -4x2

Combine like terms: 25x2 + -4x2 = 21x2
8 + 34x + 21x2 = 1 + -4x + 4x2 + -1 + 4x + -4x2

Reorder the terms:
8 + 34x + 21x2 = 1 + -1 + -4x + 4x + 4x2 + -4x2

Combine like terms: 1 + -1 = 0
8 + 34x + 21x2 = 0 + -4x + 4x + 4x2 + -4x2
8 + 34x + 21x2 = -4x + 4x + 4x2 + -4x2

Combine like terms: -4x + 4x = 0
8 + 34x + 21x2 = 0 + 4x2 + -4x2
8 + 34x + 21x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
8 + 34x + 21x2 = 0

Factor a trinomial.
(4 + 3x)(2 + 7x) = 0


Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

Solving
2 + 7x = 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 + 7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 0 + -2
7x = 0 + -2

Combine like terms: 0 + -2 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-1.333333333, -0.2857142857}

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