(x^2-25)(3x+11)=(9-5x)(25-x^2)

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Solution for (x^2-25)(3x+11)=(9-5x)(25-x^2) equation: 


Simplifying
(x2 + -25)(3x + 11) = (9 + -5x)(25 + -1x2)

Reorder the terms:
(-25 + x2)(3x + 11) = (9 + -5x)(25 + -1x2)

Reorder the terms:
(-25 + x2)(11 + 3x) = (9 + -5x)(25 + -1x2)

Multiply (-25 + x2) * (11 + 3x)
(-25(11 + 3x) + x2(11 + 3x)) = (9 + -5x)(25 + -1x2)
((11 * -25 + 3x * -25) + x2(11 + 3x)) = (9 + -5x)(25 + -1x2)
((-275 + -75x) + x2(11 + 3x)) = (9 + -5x)(25 + -1x2)
(-275 + -75x + (11 * x2 + 3x * x2)) = (9 + -5x)(25 + -1x2)
(-275 + -75x + (11x2 + 3x3)) = (9 + -5x)(25 + -1x2)
(-275 + -75x + 11x2 + 3x3) = (9 + -5x)(25 + -1x2)

Multiply (9 + -5x) * (25 + -1x2)
-275 + -75x + 11x2 + 3x3 = (9(25 + -1x2) + -5x * (25 + -1x2))
-275 + -75x + 11x2 + 3x3 = ((25 * 9 + -1x2 * 9) + -5x * (25 + -1x2))
-275 + -75x + 11x2 + 3x3 = ((225 + -9x2) + -5x * (25 + -1x2))
-275 + -75x + 11x2 + 3x3 = (225 + -9x2 + (25 * -5x + -1x2 * -5x))
-275 + -75x + 11x2 + 3x3 = (225 + -9x2 + (-125x + 5x3))

Reorder the terms:
-275 + -75x + 11x2 + 3x3 = (225 + -125x + -9x2 + 5x3)
-275 + -75x + 11x2 + 3x3 = (225 + -125x + -9x2 + 5x3)

Solving
-275 + -75x + 11x2 + 3x3 = 225 + -125x + -9x2 + 5x3

Solving for variable 'x'.

Reorder the terms:
-275 + -225 + -75x + 125x + 11x2 + 9x2 + 3x3 + -5x3 = 225 + -125x + -9x2 + 5x3 + -225 + 125x + 9x2 + -5x3

Combine like terms: -275 + -225 = -500
-500 + -75x + 125x + 11x2 + 9x2 + 3x3 + -5x3 = 225 + -125x + -9x2 + 5x3 + -225 + 125x + 9x2 + -5x3

Combine like terms: -75x + 125x = 50x
-500 + 50x + 11x2 + 9x2 + 3x3 + -5x3 = 225 + -125x + -9x2 + 5x3 + -225 + 125x + 9x2 + -5x3

Combine like terms: 11x2 + 9x2 = 20x2
-500 + 50x + 20x2 + 3x3 + -5x3 = 225 + -125x + -9x2 + 5x3 + -225 + 125x + 9x2 + -5x3

Combine like terms: 3x3 + -5x3 = -2x3
-500 + 50x + 20x2 + -2x3 = 225 + -125x + -9x2 + 5x3 + -225 + 125x + 9x2 + -5x3

Reorder the terms:
-500 + 50x + 20x2 + -2x3 = 225 + -225 + -125x + 125x + -9x2 + 9x2 + 5x3 + -5x3

Combine like terms: 225 + -225 = 0
-500 + 50x + 20x2 + -2x3 = 0 + -125x + 125x + -9x2 + 9x2 + 5x3 + -5x3
-500 + 50x + 20x2 + -2x3 = -125x + 125x + -9x2 + 9x2 + 5x3 + -5x3

Combine like terms: -125x + 125x = 0
-500 + 50x + 20x2 + -2x3 = 0 + -9x2 + 9x2 + 5x3 + -5x3
-500 + 50x + 20x2 + -2x3 = -9x2 + 9x2 + 5x3 + -5x3

Combine like terms: -9x2 + 9x2 = 0
-500 + 50x + 20x2 + -2x3 = 0 + 5x3 + -5x3
-500 + 50x + 20x2 + -2x3 = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
-500 + 50x + 20x2 + -2x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-250 + 25x + 10x2 + -1x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-250 + 25x + 10x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-250 + 25x + 10x2 + -1x3 = 0

Solving
-250 + 25x + 10x2 + -1x3 = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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