3(2x+5)(2x+7)=

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Solution for 3(2x+5)(2x+7)= equation: 


Simplifying
3(2x + 5)(2x + 7) = 0

Reorder the terms:
3(5 + 2x)(2x + 7) = 0

Reorder the terms:
3(5 + 2x)(7 + 2x) = 0

Multiply (5 + 2x) * (7 + 2x)
3(5(7 + 2x) + 2x * (7 + 2x)) = 0
3((7 * 5 + 2x * 5) + 2x * (7 + 2x)) = 0
3((35 + 10x) + 2x * (7 + 2x)) = 0
3(35 + 10x + (7 * 2x + 2x * 2x)) = 0
3(35 + 10x + (14x + 4x2)) = 0

Combine like terms: 10x + 14x = 24x
3(35 + 24x + 4x2) = 0
(35 * 3 + 24x * 3 + 4x2 * 3) = 0
(105 + 72x + 12x2) = 0

Solving
105 + 72x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(35 + 24x + 4x2) = 0

Factor a trinomial.
3((7 + 2x)(5 + 2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {-3.5, -2.5}

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