2x^2-3x+5=5

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Solution for 2x^2-3x+5=5 equation: 


Simplifying
2x2 + -3x + 5 = 5

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

Add '-5' to each side of the equation.
5 + -3x + -5 + 2x2 = 5 + -5

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

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

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

Solving
-3x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

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

Simplifying
-3 + 2x = 0

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

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

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

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0, 1.5}

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