5x^2-12x+25=2x^2+20x+5

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Solution for 5x^2-12x+25=2x^2+20x+5 equation: 


Simplifying
5x2 + -12x + 25 = 2x2 + 20x + 5

Reorder the terms:
25 + -12x + 5x2 = 2x2 + 20x + 5

Reorder the terms:
25 + -12x + 5x2 = 5 + 20x + 2x2

Solving
25 + -12x + 5x2 = 5 + 20x + 2x2

Solving for variable 'x'.

Reorder the terms:
25 + -5 + -12x + -20x + 5x2 + -2x2 = 5 + 20x + 2x2 + -5 + -20x + -2x2

Combine like terms: 25 + -5 = 20
20 + -12x + -20x + 5x2 + -2x2 = 5 + 20x + 2x2 + -5 + -20x + -2x2

Combine like terms: -12x + -20x = -32x
20 + -32x + 5x2 + -2x2 = 5 + 20x + 2x2 + -5 + -20x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
20 + -32x + 3x2 = 5 + 20x + 2x2 + -5 + -20x + -2x2

Reorder the terms:
20 + -32x + 3x2 = 5 + -5 + 20x + -20x + 2x2 + -2x2

Combine like terms: 5 + -5 = 0
20 + -32x + 3x2 = 0 + 20x + -20x + 2x2 + -2x2
20 + -32x + 3x2 = 20x + -20x + 2x2 + -2x2

Combine like terms: 20x + -20x = 0
20 + -32x + 3x2 = 0 + 2x2 + -2x2
20 + -32x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
20 + -32x + 3x2 = 0

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


Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 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 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {0.6666666667, 10}

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