factorise 9x^2+3x-2
Answers
Answer:
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Step-by-step explanation:
Simplifying
9x2 + 3x + -2 = 0
Reorder the terms:
-2 + 3x + 9x2 = 0
Solving
-2 + 3x + 9x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(-2 + -3x)(1 + -3x) = 0
Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:
Simplifying
-2 + -3x = 0
Solving
-2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2
Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2
Combine like terms: 0 + 2 = 2
-3x = 2
Divide each side by '-3'.
x = -0.6666666667
Simplifying
x = -0.6666666667
Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:
Simplifying
1 + -3x = 0
Solving
1 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1
Combine like terms: 0 + -1 = -1
-3x = -1
Divide each side by '-3'.
x = 0.3333333333
Simplifying
x = 0.3333333333
Solution
x = {-0.6666666667, 0.3333333333}