0=x*x+10x-2000

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Solution for 0=x*x+10x-2000 equation: 


Simplifying
0 = x * x + 10x + -2000

Multiply x * x
0 = x2 + 10x + -2000

Reorder the terms:
0 = -2000 + 10x + x2

Solving
0 = -2000 + 10x + x2

Solving for variable 'x'.

Combine like terms: 0 + 2000 = 2000
2000 + -10x + -1x2 = -2000 + 10x + x2 + 2000 + -10x + -1x2

Reorder the terms:
2000 + -10x + -1x2 = -2000 + 2000 + 10x + -10x + x2 + -1x2

Combine like terms: -2000 + 2000 = 0
2000 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2
2000 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
2000 + -10x + -1x2 = 0 + x2 + -1x2
2000 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2000 + -10x + -1x2 = 0

Factor a trinomial.
(40 + -1x)(50 + x) = 0


Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 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 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40

Subproblem 2
Set the factor '(50 + x)' equal to zero and attempt to solve:

Simplifying
50 + x = 0

Solving
50 + x = 0

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

Add '-50' to each side of the equation.
50 + -50 + x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + x = 0 + -50
x = 0 + -50

Combine like terms: 0 + -50 = -50
x = -50

Simplifying
x = -50
Solution
x = {40, -50}

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