25x^2-20x+4=5x-2

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Solution for 25x^2-20x+4=5x-2 equation: 


Simplifying
25x2 + -20x + 4 = 5x + -2

Reorder the terms:
4 + -20x + 25x2 = 5x + -2

Reorder the terms:
4 + -20x + 25x2 = -2 + 5x

Solving
4 + -20x + 25x2 = -2 + 5x

Solving for variable 'x'.

Reorder the terms:
4 + 2 + -20x + -5x + 25x2 = -2 + 5x + 2 + -5x

Combine like terms: 4 + 2 = 6
6 + -20x + -5x + 25x2 = -2 + 5x + 2 + -5x

Combine like terms: -20x + -5x = -25x
6 + -25x + 25x2 = -2 + 5x + 2 + -5x

Reorder the terms:
6 + -25x + 25x2 = -2 + 2 + 5x + -5x

Combine like terms: -2 + 2 = 0
6 + -25x + 25x2 = 0 + 5x + -5x
6 + -25x + 25x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -25x + 25x2 = 0

Factor a trinomial.
(2 + -5x)(3 + -5x) = 0


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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

Subproblem 2
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
Solution
x = {0.4, 0.6}

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