(3x+5)(3x-5)(9x^2+25)=

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Solution for (3x+5)(3x-5)(9x^2+25)= equation: 


Simplifying
(3x + 5)(3x + -5)(9x2 + 25) = 0

Reorder the terms:
(5 + 3x)(3x + -5)(9x2 + 25) = 0

Reorder the terms:
(5 + 3x)(-5 + 3x)(9x2 + 25) = 0

Reorder the terms:
(5 + 3x)(-5 + 3x)(25 + 9x2) = 0

Multiply (5 + 3x) * (-5 + 3x)
(5(-5 + 3x) + 3x * (-5 + 3x))(25 + 9x2) = 0
((-5 * 5 + 3x * 5) + 3x * (-5 + 3x))(25 + 9x2) = 0
((-25 + 15x) + 3x * (-5 + 3x))(25 + 9x2) = 0
(-25 + 15x + (-5 * 3x + 3x * 3x))(25 + 9x2) = 0
(-25 + 15x + (-15x + 9x2))(25 + 9x2) = 0

Combine like terms: 15x + -15x = 0
(-25 + 0 + 9x2)(25 + 9x2) = 0
(-25 + 9x2)(25 + 9x2) = 0

Multiply (-25 + 9x2) * (25 + 9x2)
(-25(25 + 9x2) + 9x2 * (25 + 9x2)) = 0
((25 * -25 + 9x2 * -25) + 9x2 * (25 + 9x2)) = 0
((-625 + -225x2) + 9x2 * (25 + 9x2)) = 0
(-625 + -225x2 + (25 * 9x2 + 9x2 * 9x2)) = 0
(-625 + -225x2 + (225x2 + 81x4)) = 0

Combine like terms: -225x2 + 225x2 = 0
(-625 + 0 + 81x4) = 0
(-625 + 81x4) = 0

Solving
-625 + 81x4 = 0

Solving for variable 'x'.

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

Add '625' to each side of the equation.
-625 + 625 + 81x4 = 0 + 625

Combine like terms: -625 + 625 = 0
0 + 81x4 = 0 + 625
81x4 = 0 + 625

Combine like terms: 0 + 625 = 625
81x4 = 625

Divide each side by '81'.
x4 = 7.716049383

Simplifying
x4 = 7.716049383

Reorder the terms:
-7.716049383 + x4 = 7.716049383 + -7.716049383

Combine like terms: 7.716049383 + -7.716049383 = 0.000000000
-7.716049383 + x4 = 0.000000000

The solution to this equation could not be determined.

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