9x2-114x+361=0
please explain in detail
Answers
Answer:
Simplifying
9x2 + -114x + 361 = 0
Reorder the terms:
361 + -114x + 9x2 = 0
Solving
361 + -114x + 9x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(19 + -3x)(19 + -3x) = 0
Subproblem 1
Set the factor '(19 + -3x)' equal to zero and attempt to solve:
Simplifying
19 + -3x = 0
Solving
19 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-19' to each side of the equation.
19 + -19 + -3x = 0 + -19
Combine like terms: 19 + -19 = 0
0 + -3x = 0 + -19
-3x = 0 + -19
Combine like terms: 0 + -19 = -19
-3x = -19
Divide each side by '-3'.
x = 6.333333333
Simplifying
x = 6.333333333
Subproblem 2
Set the factor '(19 + -3x)' equal to zero and attempt to solve:
Simplifying
19 + -3x = 0
Solving
19 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-19' to each side of the equation.
19 + -19 + -3x = 0 + -19
Combine like terms: 19 + -19 = 0
0 + -3x = 0 + -19
-3x = 0 + -19
Combine like terms: 0 + -19 = -19
-3x = -19
Divide each side by '-3'.
x = 6.333333333
Simplifying
Step-by-step explanation:
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