0=x^2+25x-600

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Solution for 0=x^2+25x-600 equation: 


Simplifying
0 = x2 + 25x + -600

Reorder the terms:
0 = -600 + 25x + x2

Solving
0 = -600 + 25x + x2

Solving for variable 'x'.

Combine like terms: 0 + 600 = 600
600 + -25x + -1x2 = -600 + 25x + x2 + 600 + -25x + -1x2

Reorder the terms:
600 + -25x + -1x2 = -600 + 600 + 25x + -25x + x2 + -1x2

Combine like terms: -600 + 600 = 0
600 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2
600 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
600 + -25x + -1x2 = 0 + x2 + -1x2
600 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
600 + -25x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(40 + x) = 0


Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve:

Simplifying
40 + x = 0

Solving
40 + x = 0

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

Add '-40' to each side of the equation.
40 + -40 + x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + x = 0 + -40
x = 0 + -40

Combine like terms: 0 + -40 = -40
x = -40

Simplifying
x = -40
Solution
x = {15, -40}

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