(3x+4)(3x+4)=49

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Solution for (3x+4)(3x+4)=49 equation: 


Simplifying
(3x + 4)(3x + 4) = 49

Reorder the terms:
(4 + 3x)(3x + 4) = 49

Reorder the terms:
(4 + 3x)(4 + 3x) = 49

Multiply (4 + 3x) * (4 + 3x)
(4(4 + 3x) + 3x * (4 + 3x)) = 49
((4 * 4 + 3x * 4) + 3x * (4 + 3x)) = 49
((16 + 12x) + 3x * (4 + 3x)) = 49
(16 + 12x + (4 * 3x + 3x * 3x)) = 49
(16 + 12x + (12x + 9x2)) = 49

Combine like terms: 12x + 12x = 24x
(16 + 24x + 9x2) = 49

Solving
16 + 24x + 9x2 = 49

Solving for variable 'x'.

Reorder the terms:
16 + -49 + 24x + 9x2 = 49 + -49

Combine like terms: 16 + -49 = -33
-33 + 24x + 9x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-33 + 24x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-11 + 8x + 3x2) = 0

Factor a trinomial.
3((-11 + -3x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
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
Solution
x = {-3.666666667, 1}

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