(2x+7)(64x+8x+2)=

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Solution for (2x+7)(64x+8x+2)= equation: 


Simplifying
(2x + 7)(64x + 8x + 2) = 0

Reorder the terms:
(7 + 2x)(64x + 8x + 2) = 0

Reorder the terms:
(7 + 2x)(2 + 64x + 8x) = 0

Combine like terms: 64x + 8x = 72x
(7 + 2x)(2 + 72x) = 0

Multiply (7 + 2x) * (2 + 72x)
(7(2 + 72x) + 2x * (2 + 72x)) = 0
((2 * 7 + 72x * 7) + 2x * (2 + 72x)) = 0
((14 + 504x) + 2x * (2 + 72x)) = 0
(14 + 504x + (2 * 2x + 72x * 2x)) = 0
(14 + 504x + (4x + 144x2)) = 0

Combine like terms: 504x + 4x = 508x
(14 + 508x + 144x2) = 0

Solving
14 + 508x + 144x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 254x + 72x2) = 0

Factor a trinomial.
2((7 + 2x)(1 + 36x)) = 0

Ignore the factor 2.

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 '(1 + 36x)' equal to zero and attempt to solve:

Simplifying
1 + 36x = 0

Solving
1 + 36x = 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 + 36x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 36x = 0 + -1
36x = 0 + -1

Combine like terms: 0 + -1 = -1
36x = -1

Divide each side by '36'.
x = -0.02777777778

Simplifying
x = -0.02777777778
Solution
x = {-3.5, -0.02777777778}

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