0=25x^2-20x+4

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Solution for 0=25x^2-20x+4 equation:


Simplifying
0 = 25x2 + -20x + 4

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

Solving
0 = 4 + -20x + 25x2

Solving for variable 'x'.

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

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

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

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

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

Factor a trinomial.
(-2 + 5x)(2 + -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 '(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

Solution

x = {0.4, 0.4}

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