3x^2-101x-1000=0

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Solution for 3x^2-101x-1000=0 equation: 


Simplifying
3x2 + -101x + -1000 = 0

Reorder the terms:
-1000 + -101x + 3x2 = 0

Solving
-1000 + -101x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x)(125 + -3x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(125 + -3x)' equal to zero and attempt to solve:

Simplifying
125 + -3x = 0

Solving
125 + -3x = 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 + -3x = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -3x = 0 + -125
-3x = 0 + -125

Combine like terms: 0 + -125 = -125
-3x = -125

Divide each side by '-3'.
x = 41.66666667

Simplifying
x = 41.66666667
Solution
x = {-8, 41.66666667}

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