guys if you have a trick to solve long factorisation easy then please help me
3x^2+30x-3600
Answers
Answer:
Simplifying
3x2 + 30x + -3600 = 0
Reorder the terms:
-3600 + 30x + 3x2 = 0
Solving
-3600 + 30x + 3x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3'.
3(-1200 + 10x + x2) = 0
Factor a trinomial.
3((-40 + -1x)(30 + -1x)) = 0
Ignore the factor 3.
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 '(30 + -1x)' equal to zero and attempt to solve:
Simplifying
30 + -1x = 0
Solving
30 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30
Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30
Combine like terms: 0 + -30 = -30
-1x = -30
Divide each side by '-1'.
x = 30
Simplifying
x = 30
Solution
x = {-40, 30}