0=-5x^2+72x-220

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Solution for 0=-5x^2+72x-220 equation: 


Simplifying
0 = -5x2 + 72x + -220

Reorder the terms:
0 = -220 + 72x + -5x2

Solving
0 = -220 + 72x + -5x2

Solving for variable 'x'.

Combine like terms: 0 + 220 = 220
220 + -72x + 5x2 = -220 + 72x + -5x2 + 220 + -72x + 5x2

Reorder the terms:
220 + -72x + 5x2 = -220 + 220 + 72x + -72x + -5x2 + 5x2

Combine like terms: -220 + 220 = 0
220 + -72x + 5x2 = 0 + 72x + -72x + -5x2 + 5x2
220 + -72x + 5x2 = 72x + -72x + -5x2 + 5x2

Combine like terms: 72x + -72x = 0
220 + -72x + 5x2 = 0 + -5x2 + 5x2
220 + -72x + 5x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
220 + -72x + 5x2 = 0

Factor a trinomial.
(22 + -5x)(10 + -1x) = 0


Subproblem 1
Set the factor '(22 + -5x)' equal to zero and attempt to solve:

Simplifying
22 + -5x = 0

Solving
22 + -5x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -5x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -5x = 0 + -22
-5x = 0 + -22

Combine like terms: 0 + -22 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {4.4, 10}

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