4x^2+12x+9=25x^2+20x+4

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Solution for 4x^2+12x+9=25x^2+20x+4 equation: 


Simplifying
4x2 + 12x + 9 = 25x2 + 20x + 4

Reorder the terms:
9 + 12x + 4x2 = 25x2 + 20x + 4

Reorder the terms:
9 + 12x + 4x2 = 4 + 20x + 25x2

Solving
9 + 12x + 4x2 = 4 + 20x + 25x2

Solving for variable 'x'.

Reorder the terms:
9 + -4 + 12x + -20x + 4x2 + -25x2 = 4 + 20x + 25x2 + -4 + -20x + -25x2

Combine like terms: 9 + -4 = 5
5 + 12x + -20x + 4x2 + -25x2 = 4 + 20x + 25x2 + -4 + -20x + -25x2

Combine like terms: 12x + -20x = -8x
5 + -8x + 4x2 + -25x2 = 4 + 20x + 25x2 + -4 + -20x + -25x2

Combine like terms: 4x2 + -25x2 = -21x2
5 + -8x + -21x2 = 4 + 20x + 25x2 + -4 + -20x + -25x2

Reorder the terms:
5 + -8x + -21x2 = 4 + -4 + 20x + -20x + 25x2 + -25x2

Combine like terms: 4 + -4 = 0
5 + -8x + -21x2 = 0 + 20x + -20x + 25x2 + -25x2
5 + -8x + -21x2 = 20x + -20x + 25x2 + -25x2

Combine like terms: 20x + -20x = 0
5 + -8x + -21x2 = 0 + 25x2 + -25x2
5 + -8x + -21x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
5 + -8x + -21x2 = 0

Factor a trinomial.
(1 + -3x)(5 + 7x) = 0


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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(5 + 7x)' equal to zero and attempt to solve:

Simplifying
5 + 7x = 0

Solving
5 + 7x = 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 + 7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = 0 + -5
7x = 0 + -5

Combine like terms: 0 + -5 = -5
7x = -5

Divide each side by '7'.
x = -0.7142857143

Simplifying
x = -0.7142857143
Solution
x = {0.3333333333, -0.7142857143}

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