0=4x^2+240x-625

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Solution for 0=4x^2+240x-625 equation: 


Simplifying
0 = 4x2 + 240x + -625

Reorder the terms:
0 = -625 + 240x + 4x2

Solving
0 = -625 + 240x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 625 = 625
625 + -240x + -4x2 = -625 + 240x + 4x2 + 625 + -240x + -4x2

Reorder the terms:
625 + -240x + -4x2 = -625 + 625 + 240x + -240x + 4x2 + -4x2

Combine like terms: -625 + 625 = 0
625 + -240x + -4x2 = 0 + 240x + -240x + 4x2 + -4x2
625 + -240x + -4x2 = 240x + -240x + 4x2 + -4x2

Combine like terms: 240x + -240x = 0
625 + -240x + -4x2 = 0 + 4x2 + -4x2
625 + -240x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
625 + -240x + -4x2 = 0

Factor a trinomial.
(5 + -2x)(125 + 2x) = 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 '(125 + 2x)' equal to zero and attempt to solve:

Simplifying
125 + 2x = 0

Solving
125 + 2x = 0

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

Add '-125' to each side of the equation.
125 + -125 + 2x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + 2x = 0 + -125
2x = 0 + -125

Combine like terms: 0 + -125 = -125
2x = -125

Divide each side by '2'.
x = -62.5

Simplifying
x = -62.5
Solution
x = {2.5, -62.5}

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