0=x^2-5x-150

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Solution for 0=x^2-5x-150 equation: 


Simplifying
0 = x2 + -5x + -150

Reorder the terms:
0 = -150 + -5x + x2

Solving
0 = -150 + -5x + x2

Solving for variable 'x'.

Combine like terms: 0 + 150 = 150
150 + 5x + -1x2 = -150 + -5x + x2 + 150 + 5x + -1x2

Reorder the terms:
150 + 5x + -1x2 = -150 + 150 + -5x + 5x + x2 + -1x2

Combine like terms: -150 + 150 = 0
150 + 5x + -1x2 = 0 + -5x + 5x + x2 + -1x2
150 + 5x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
150 + 5x + -1x2 = 0 + x2 + -1x2
150 + 5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
150 + 5x + -1x2 = 0

Factor a trinomial.
(15 + -1x)(10 + 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 '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

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

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

Simplifying
x = -10
Solution
x = {15, -10}

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