0=2x^2-5x+2

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Solution for 0=2x^2-5x+2 equation:


Simplifying
0 = 2x2 + -5x + 2

Reorder the terms:
0 = 2 + -5x + 2x2

Solving
0 = 2 + -5x + 2x2

Solving for variable 'x'.

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

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

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

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

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

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

Subproblem 1

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {2, 0.5}

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