9(x^2+2x+1)=49

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Solution for 9(x^2+2x+1)=49 equation: 


Simplifying
9(x2 + 2x + 1) = 49

Reorder the terms:
9(1 + 2x + x2) = 49
(1 * 9 + 2x * 9 + x2 * 9) = 49
(9 + 18x + 9x2) = 49

Solving
9 + 18x + 9x2 = 49

Solving for variable 'x'.

Reorder the terms:
9 + -49 + 18x + 9x2 = 49 + -49

Combine like terms: 9 + -49 = -40
-40 + 18x + 9x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-40 + 18x + 9x2 = 0

Factor a trinomial.
(-10 + -3x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-3.333333333, 1.333333333}

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