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

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


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

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

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

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

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

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

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

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

Solving
-81 + 256x4 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '256'.
x4 = 0.31640625

Simplifying
x4 = 0.31640625

Reorder the terms:
-0.31640625 + x4 = 0.31640625 + -0.31640625

Combine like terms: 0.31640625 + -0.31640625 = 0.00000000
-0.31640625 + x4 = 0.00000000

Factor a difference between two squares.
(0.5625 + x2)(-0.5625 + x2) = 0.00000000

Factor a difference between two squares.
(0.5625 + x2)((0.75 + x)(-0.75 + x)) = 0.00000000


Subproblem 1
Set the factor '(0.5625 + x2)' equal to zero and attempt to solve:

Simplifying
0.5625 + x2 = 0

Solving
0.5625 + x2 = 0

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

Add '-0.5625' to each side of the equation.
0.5625 + -0.5625 + x2 = 0 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + x2 = 0 + -0.5625
x2 = 0 + -0.5625

Combine like terms: 0 + -0.5625 = -0.5625
x2 = -0.5625

Simplifying
x2 = -0.5625

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(0.75 + x)' equal to zero and attempt to solve:

Simplifying
0.75 + x = 0

Solving
0.75 + x = 0

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

Add '-0.75' to each side of the equation.
0.75 + -0.75 + x = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + x = 0 + -0.75
x = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
x = -0.75

Simplifying
x = -0.75

Subproblem 3
Set the factor '(-0.75 + x)' equal to zero and attempt to solve:

Simplifying
-0.75 + x = 0

Solving
-0.75 + x = 0

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + x = 0 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + x = 0 + 0.75
x = 0 + 0.75

Combine like terms: 0 + 0.75 = 0.75
x = 0.75

Simplifying
x = 0.75
Solution
x = {-0.75, 0.75}

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