0=20x^2-56x+15

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Solution for 0=20x^2-56x+15 equation: 


Simplifying
0 = 20x2 + -56x + 15

Reorder the terms:
0 = 15 + -56x + 20x2

Solving
0 = 15 + -56x + 20x2

Solving for variable 'x'.

Combine like terms: 0 + -15 = -15
-15 + 56x + -20x2 = 15 + -56x + 20x2 + -15 + 56x + -20x2

Reorder the terms:
-15 + 56x + -20x2 = 15 + -15 + -56x + 56x + 20x2 + -20x2

Combine like terms: 15 + -15 = 0
-15 + 56x + -20x2 = 0 + -56x + 56x + 20x2 + -20x2
-15 + 56x + -20x2 = -56x + 56x + 20x2 + -20x2

Combine like terms: -56x + 56x = 0
-15 + 56x + -20x2 = 0 + 20x2 + -20x2
-15 + 56x + -20x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
-15 + 56x + -20x2 = 0

Factor a trinomial.
(-5 + 2x)(3 + -10x) = 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 '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {2.5, 0.3}

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