x square -3 root 3x +6 =0 solve by factorization method
Answers
Answer:
(x-6)(x-1)=0
Simplifying
(x + -6)(x + -1) = 0
Reorder the terms:
(-6 + x)(x + -1) = 0
Reorder the terms:
(-6 + x)(-1 + x) = 0
Multiply (-6 + x) * (-1 + x)
(-6(-1 + x) + x(-1 + x)) = 0
((-1 * -6 + x * -6) + x(-1 + x)) = 0
((6 + -6x) + x(-1 + x)) = 0
(6 + -6x + (-1 * x + x * x)) = 0
(6 + -6x + (-1x + x2)) = 0
Combine like terms: -6x + -1x = -7x
(6 + -7x + x2) = 0
Solving
6 + -7x + x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(1 + -1x)(6 + -1x) = 0
Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:
Simplifying
1 + -1x = 0
Solving
1 + -1x = 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 + -1x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1
Combine like terms: 0 + -1 = -1
-1x = -1
Divide each side by '-1'.
x = 1
Simplifying
x = 1
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 = {1, 6}
Step-by-step explanation:
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