x²-30x-99 factorise
Answers
Simplifying
x2 + 30x + -99 = 0
Reorder the terms:
-99 + 30x + x2 = 0
Solving
-99 + 30x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-33 + -1x)(3 + -1x) = 0
Subproblem 1
Set the factor '(-33 + -1x)' equal to zero and attempt to solve:
Simplifying
-33 + -1x = 0
Solving
-33 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '33' to each side of the equation.
-33 + 33 + -1x = 0 + 33
Combine like terms: -33 + 33 = 0
0 + -1x = 0 + 33
-1x = 0 + 33
Combine like terms: 0 + 33 = 33
-1x = 33
Divide each side by '-1'.
x = -33
Simplifying
x = -33
Set the factor '(3 + -1x)' equal to zero and attempt to solve:
Simplifying
3 + -1x = 0
Solving
3 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3
Combine like terms: 0 + -3 = -3
-1x = -3
Divide each side by '-1'.
x = 3
Simplifying
x = 3
Solution
x = {-33, 3}
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