5(3x+7)(3x+7)=0

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Solution for 5(3x+7)(3x+7)=0 equation: 


Simplifying
5(3x + 7)(3x + 7) = 0

Reorder the terms:
5(7 + 3x)(3x + 7) = 0

Reorder the terms:
5(7 + 3x)(7 + 3x) = 0

Multiply (7 + 3x) * (7 + 3x)
5(7(7 + 3x) + 3x * (7 + 3x)) = 0
5((7 * 7 + 3x * 7) + 3x * (7 + 3x)) = 0
5((49 + 21x) + 3x * (7 + 3x)) = 0
5(49 + 21x + (7 * 3x + 3x * 3x)) = 0
5(49 + 21x + (21x + 9x2)) = 0

Combine like terms: 21x + 21x = 42x
5(49 + 42x + 9x2) = 0
(49 * 5 + 42x * 5 + 9x2 * 5) = 0
(245 + 210x + 45x2) = 0

Solving
245 + 210x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(49 + 42x + 9x2) = 0

Factor a trinomial.
5((7 + 3x)(7 + 3x)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {-2.333333333, -2.333333333}

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