(3x+4)(3x-4)(9x^2+16)=

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Solution for (3x+4)(3x-4)(9x^2+16)= equation: 


Simplifying
(3x + 4)(3x + -4)(9x2 + 16) = 0

Reorder the terms:
(4 + 3x)(3x + -4)(9x2 + 16) = 0

Reorder the terms:
(4 + 3x)(-4 + 3x)(9x2 + 16) = 0

Reorder the terms:
(4 + 3x)(-4 + 3x)(16 + 9x2) = 0

Multiply (4 + 3x) * (-4 + 3x)
(4(-4 + 3x) + 3x * (-4 + 3x))(16 + 9x2) = 0
((-4 * 4 + 3x * 4) + 3x * (-4 + 3x))(16 + 9x2) = 0
((-16 + 12x) + 3x * (-4 + 3x))(16 + 9x2) = 0
(-16 + 12x + (-4 * 3x + 3x * 3x))(16 + 9x2) = 0
(-16 + 12x + (-12x + 9x2))(16 + 9x2) = 0

Combine like terms: 12x + -12x = 0
(-16 + 0 + 9x2)(16 + 9x2) = 0
(-16 + 9x2)(16 + 9x2) = 0

Multiply (-16 + 9x2) * (16 + 9x2)
(-16(16 + 9x2) + 9x2 * (16 + 9x2)) = 0
((16 * -16 + 9x2 * -16) + 9x2 * (16 + 9x2)) = 0
((-256 + -144x2) + 9x2 * (16 + 9x2)) = 0
(-256 + -144x2 + (16 * 9x2 + 9x2 * 9x2)) = 0
(-256 + -144x2 + (144x2 + 81x4)) = 0

Combine like terms: -144x2 + 144x2 = 0
(-256 + 0 + 81x4) = 0
(-256 + 81x4) = 0

Solving
-256 + 81x4 = 0

Solving for variable 'x'.

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

Add '256' to each side of the equation.
-256 + 256 + 81x4 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + 81x4 = 0 + 256
81x4 = 0 + 256

Combine like terms: 0 + 256 = 256
81x4 = 256

Divide each side by '81'.
x4 = 3.160493827

Simplifying
x4 = 3.160493827

Reorder the terms:
-3.160493827 + x4 = 3.160493827 + -3.160493827

Combine like terms: 3.160493827 + -3.160493827 = 0.000000000
-3.160493827 + x4 = 0.000000000

The solution to this equation could not be determined.

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