factorise 2x²+16x+24
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Answers
Simplifying
2x2 + -16x + 24 = 0
Reorder the terms:
24 + -16x + 2x2 = 0
Solving
24 + -16x + 2x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -8x + x2) = 0
Factor a trinomial.
2((2 + -1x)(6 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:
Simplifying
2 + -1x = 0
Solving
2 + -1x = 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 + -1x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2
Combine like terms: 0 + -2 = -2
-1x = -2
Divide each side by '-1'.
x = 2
Simplifying
x = 2
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:
Simplifying
6 + -1x = 0
Solving
6 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6
Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6
Combine like terms: 0 + -6 = -6
-1x = -6
Divide each side by '-1'.
x = 6
Simplifying
x = 6
Solution
x = {2, 6}