(x+9)(x+5)(3x-4)(x*x-3x)=45

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Solution for (x+9)(x+5)(3x-4)(x*x-3x)=45 equation: 


Simplifying
(x + 9)(x + 5)(3x + -4)(x * x + -3x) = 45

Reorder the terms:
(9 + x)(x + 5)(3x + -4)(x * x + -3x) = 45

Reorder the terms:
(9 + x)(5 + x)(3x + -4)(x * x + -3x) = 45

Reorder the terms:
(9 + x)(5 + x)(-4 + 3x)(x * x + -3x) = 45

Multiply x * x
(9 + x)(5 + x)(-4 + 3x)(x2 + -3x) = 45

Reorder the terms:
(9 + x)(5 + x)(-4 + 3x)(-3x + x2) = 45

Multiply (9 + x) * (5 + x)
(9(5 + x) + x(5 + x))(-4 + 3x)(-3x + x2) = 45
((5 * 9 + x * 9) + x(5 + x))(-4 + 3x)(-3x + x2) = 45
((45 + 9x) + x(5 + x))(-4 + 3x)(-3x + x2) = 45
(45 + 9x + (5 * x + x * x))(-4 + 3x)(-3x + x2) = 45
(45 + 9x + (5x + x2))(-4 + 3x)(-3x + x2) = 45

Combine like terms: 9x + 5x = 14x
(45 + 14x + x2)(-4 + 3x)(-3x + x2) = 45

Multiply (45 + 14x + x2) * (-4 + 3x)
(45(-4 + 3x) + 14x * (-4 + 3x) + x2(-4 + 3x))(-3x + x2) = 45
((-4 * 45 + 3x * 45) + 14x * (-4 + 3x) + x2(-4 + 3x))(-3x + x2) = 45
((-180 + 135x) + 14x * (-4 + 3x) + x2(-4 + 3x))(-3x + x2) = 45
(-180 + 135x + (-4 * 14x + 3x * 14x) + x2(-4 + 3x))(-3x + x2) = 45
(-180 + 135x + (-56x + 42x2) + x2(-4 + 3x))(-3x + x2) = 45
(-180 + 135x + -56x + 42x2 + (-4 * x2 + 3x * x2))(-3x + x2) = 45
(-180 + 135x + -56x + 42x2 + (-4x2 + 3x3))(-3x + x2) = 45

Combine like terms: 135x + -56x = 79x
(-180 + 79x + 42x2 + -4x2 + 3x3)(-3x + x2) = 45

Combine like terms: 42x2 + -4x2 = 38x2
(-180 + 79x + 38x2 + 3x3)(-3x + x2) = 45

Multiply (-180 + 79x + 38x2 + 3x3) * (-3x + x2)
(-180(-3x + x2) + 79x * (-3x + x2) + 38x2 * (-3x + x2) + 3x3 * (-3x + x2)) = 45
((-3x * -180 + x2 * -180) + 79x * (-3x + x2) + 38x2 * (-3x + x2) + 3x3 * (-3x + x2)) = 45
((540x + -180x2) + 79x * (-3x + x2) + 38x2 * (-3x + x2) + 3x3 * (-3x + x2)) = 45
(540x + -180x2 + (-3x * 79x + x2 * 79x) + 38x2 * (-3x + x2) + 3x3 * (-3x + x2)) = 45
(540x + -180x2 + (-237x2 + 79x3) + 38x2 * (-3x + x2) + 3x3 * (-3x + x2)) = 45
(540x + -180x2 + -237x2 + 79x3 + (-3x * 38x2 + x2 * 38x2) + 3x3 * (-3x + x2)) = 45
(540x + -180x2 + -237x2 + 79x3 + (-114x3 + 38x4) + 3x3 * (-3x + x2)) = 45
(540x + -180x2 + -237x2 + 79x3 + -114x3 + 38x4 + (-3x * 3x3 + x2 * 3x3)) = 45
(540x + -180x2 + -237x2 + 79x3 + -114x3 + 38x4 + (-9x4 + 3x5)) = 45

Combine like terms: -180x2 + -237x2 = -417x2
(540x + -417x2 + 79x3 + -114x3 + 38x4 + -9x4 + 3x5) = 45

Combine like terms: 79x3 + -114x3 = -35x3
(540x + -417x2 + -35x3 + 38x4 + -9x4 + 3x5) = 45

Combine like terms: 38x4 + -9x4 = 29x4
(540x + -417x2 + -35x3 + 29x4 + 3x5) = 45

Solving
540x + -417x2 + -35x3 + 29x4 + 3x5 = 45

Solving for variable 'x'.

Reorder the terms:
-45 + 540x + -417x2 + -35x3 + 29x4 + 3x5 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + 540x + -417x2 + -35x3 + 29x4 + 3x5 = 0

The solution to this equation could not be determined.

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