=4x^2-20x+25

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


Simplifying
0 = 4x2 + -20x + 25

Reorder the terms:
0 = 25 + -20x + 4x2

Solving
0 = 25 + -20x + 4x2

Solving for variable 'x'.

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

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

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

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

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

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


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

Simplifying
-5 + 2x = 0

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

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

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
5 + -2x = 0

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

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {2.5, 2.5}

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