[(5x+3)(8x+6)]x[(-9x+10)(12x^2+5x-5)]=

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Solution for [(5x+3)(8x+6)]x[(-9x+10)(12x^2+5x-5)]= equation: 


Simplifying
[(5x + 3)(8x + 6)] * x[(-9x + 10)(12x2 + 5x + -5)] = 0

Reorder the terms:
[(3 + 5x)(8x + 6)] * x[(-9x + 10)(12x2 + 5x + -5)] = 0

Reorder the terms:
[(3 + 5x)(6 + 8x)] * x[(-9x + 10)(12x2 + 5x + -5)] = 0

Multiply (3 + 5x) * (6 + 8x)
[(3(6 + 8x) + 5x * (6 + 8x))] * x[(-9x + 10)(12x2 + 5x + -5)] = 0
[((6 * 3 + 8x * 3) + 5x * (6 + 8x))] * x[(-9x + 10)(12x2 + 5x + -5)] = 0
[((18 + 24x) + 5x * (6 + 8x))] * x[(-9x + 10)(12x2 + 5x + -5)] = 0
[(18 + 24x + (6 * 5x + 8x * 5x))] * x[(-9x + 10)(12x2 + 5x + -5)] = 0
[(18 + 24x + (30x + 40x2))] * x[(-9x + 10)(12x2 + 5x + -5)] = 0

Combine like terms: 24x + 30x = 54x
[(18 + 54x + 40x2)] * x[(-9x + 10)(12x2 + 5x + -5)] = 0

Reorder the terms:
[18 + 54x + 40x2] * x[(10 + -9x)(12x2 + 5x + -5)] = 0

Reorder the terms:
[18 + 54x + 40x2] * x[(10 + -9x)(-5 + 5x + 12x2)] = 0

Multiply (10 + -9x) * (-5 + 5x + 12x2)
[18 + 54x + 40x2] * x[(10(-5 + 5x + 12x2) + -9x * (-5 + 5x + 12x2))] = 0
[18 + 54x + 40x2] * x[((-5 * 10 + 5x * 10 + 12x2 * 10) + -9x * (-5 + 5x + 12x2))] = 0
[18 + 54x + 40x2] * x[((-50 + 50x + 120x2) + -9x * (-5 + 5x + 12x2))] = 0
[18 + 54x + 40x2] * x[(-50 + 50x + 120x2 + (-5 * -9x + 5x * -9x + 12x2 * -9x))] = 0
[18 + 54x + 40x2] * x[(-50 + 50x + 120x2 + (45x + -45x2 + -108x3))] = 0

Reorder the terms:
[18 + 54x + 40x2] * x[(-50 + 50x + 45x + 120x2 + -45x2 + -108x3)] = 0

Combine like terms: 50x + 45x = 95x
[18 + 54x + 40x2] * x[(-50 + 95x + 120x2 + -45x2 + -108x3)] = 0

Combine like terms: 120x2 + -45x2 = 75x2
[18 + 54x + 40x2] * x[(-50 + 95x + 75x2 + -108x3)] = 0

Reorder the terms for easier multiplication:
x[18 + 54x + 40x2][-50 + 95x + 75x2 + -108x3] = 0

Multiply [18 + 54x + 40x2] * [-50 + 95x + 75x2 + -108x3]
x[18[-50 + 95x + 75x2 + -108x3] + 54x * [-50 + 95x + 75x2 + -108x3] + 40x2 * [-50 + 95x + 75x2 + -108x3]] = 0
x[[-50 * 18 + 95x * 18 + 75x2 * 18 + -108x3 * 18] + 54x * [-50 + 95x + 75x2 + -108x3] + 40x2 * [-50 + 95x + 75x2 + -108x3]] = 0
x[[-900 + 1710x + 1350x2 + -1944x3] + 54x * [-50 + 95x + 75x2 + -108x3] + 40x2 * [-50 + 95x + 75x2 + -108x3]] = 0
x[-900 + 1710x + 1350x2 + -1944x3 + [-50 * 54x + 95x * 54x + 75x2 * 54x + -108x3 * 54x] + 40x2 * [-50 + 95x + 75x2 + -108x3]] = 0
x[-900 + 1710x + 1350x2 + -1944x3 + [-2700x + 5130x2 + 4050x3 + -5832x4] + 40x2 * [-50 + 95x + 75x2 + -108x3]] = 0
x[-900 + 1710x + 1350x2 + -1944x3 + -2700x + 5130x2 + 4050x3 + -5832x4 + [-50 * 40x2 + 95x * 40x2 + 75x2 * 40x2 + -108x3 * 40x2]] = 0
x[-900 + 1710x + 1350x2 + -1944x3 + -2700x + 5130x2 + 4050x3 + -5832x4 + [-2000x2 + 3800x3 + 3000x4 + -4320x5]] = 0

Reorder the terms:
x[-900 + 1710x + -2700x + 1350x2 + 5130x2 + -2000x2 + -1944x3 + 4050x3 + 3800x3 + -5832x4 + 3000x4 + -4320x5] = 0

Combine like terms: 1710x + -2700x = -990x
x[-900 + -990x + 1350x2 + 5130x2 + -2000x2 + -1944x3 + 4050x3 + 3800x3 + -5832x4 + 3000x4 + -4320x5] = 0

Combine like terms: 1350x2 + 5130x2 = 6480x2
x[-900 + -990x + 6480x2 + -2000x2 + -1944x3 + 4050x3 + 3800x3 + -5832x4 + 3000x4 + -4320x5] = 0

Combine like terms: 6480x2 + -2000x2 = 4480x2
x[-900 + -990x + 4480x2 + -1944x3 + 4050x3 + 3800x3 + -5832x4 + 3000x4 + -4320x5] = 0

Combine like terms: -1944x3 + 4050x3 = 2106x3
x[-900 + -990x + 4480x2 + 2106x3 + 3800x3 + -5832x4 + 3000x4 + -4320x5] = 0

Combine like terms: 2106x3 + 3800x3 = 5906x3
x[-900 + -990x + 4480x2 + 5906x3 + -5832x4 + 3000x4 + -4320x5] = 0

Combine like terms: -5832x4 + 3000x4 = -2832x4
x[-900 + -990x + 4480x2 + 5906x3 + -2832x4 + -4320x5] = 0
[-900 * x + -990x * x + 4480x2 * x + 5906x3 * x + -2832x4 * x + -4320x5 * x] = 0
[-900x + -990x2 + 4480x3 + 5906x4 + -2832x5 + -4320x6] = 0

Solving
-900x + -990x2 + 4480x3 + 5906x4 + -2832x5 + -4320x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-450 + -495x + 2240x2 + 2953x3 + -1416x4 + -2160x5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-450 + -495x + 2240x2 + 2953x3 + -1416x4 + -2160x5)' equal to zero and attempt to solve:

Simplifying
-450 + -495x + 2240x2 + 2953x3 + -1416x4 + -2160x5 = 0

Solving
-450 + -495x + 2240x2 + 2953x3 + -1416x4 + -2160x5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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