-7x(x(2x-5)-12)(9x^2+30x+25)=0

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Solution for -7x(x(2x-5)-12)(9x^2+30x+25)=0 equation:


Simplifying
-7x(x(2x + -5) + -12)(9x2 + 30x + 25) = 0

Reorder the terms:
-7x(x(-5 + 2x) + -12)(9x2 + 30x + 25) = 0
-7x((-5 * x + 2x * x) + -12)(9x2 + 30x + 25) = 0
-7x((-5x + 2x2) + -12)(9x2 + 30x + 25) = 0

Reorder the terms:
-7x(-12 + -5x + 2x2)(9x2 + 30x + 25) = 0

Reorder the terms:
-7x(-12 + -5x + 2x2)(25 + 30x + 9x2) = 0

Multiply (-12 + -5x + 2x2) * (25 + 30x + 9x2)
-7x(-12(25 + 30x + 9x2) + -5x * (25 + 30x + 9x2) + 2x2 * (25 + 30x + 9x2)) = 0
-7x((25 * -12 + 30x * -12 + 9x2 * -12) + -5x * (25 + 30x + 9x2) + 2x2 * (25 + 30x + 9x2)) = 0
-7x((-300 + -360x + -108x2) + -5x * (25 + 30x + 9x2) + 2x2 * (25 + 30x + 9x2)) = 0
-7x(-300 + -360x + -108x2 + (25 * -5x + 30x * -5x + 9x2 * -5x) + 2x2 * (25 + 30x + 9x2)) = 0
-7x(-300 + -360x + -108x2 + (-125x + -150x2 + -45x3) + 2x2 * (25 + 30x + 9x2)) = 0
-7x(-300 + -360x + -108x2 + -125x + -150x2 + -45x3 + (25 * 2x2 + 30x * 2x2 + 9x2 * 2x2)) = 0
-7x(-300 + -360x + -108x2 + -125x + -150x2 + -45x3 + (50x2 + 60x3 + 18x4)) = 0

Reorder the terms:
-7x(-300 + -360x + -125x + -108x2 + -150x2 + 50x2 + -45x3 + 60x3 + 18x4) = 0

Combine like terms: -360x + -125x = -485x
-7x(-300 + -485x + -108x2 + -150x2 + 50x2 + -45x3 + 60x3 + 18x4) = 0

Combine like terms: -108x2 + -150x2 = -258x2
-7x(-300 + -485x + -258x2 + 50x2 + -45x3 + 60x3 + 18x4) = 0

Combine like terms: -258x2 + 50x2 = -208x2
-7x(-300 + -485x + -208x2 + -45x3 + 60x3 + 18x4) = 0

Combine like terms: -45x3 + 60x3 = 15x3
-7x(-300 + -485x + -208x2 + 15x3 + 18x4) = 0
(-300 * -7x + -485x * -7x + -208x2 * -7x + 15x3 * -7x + 18x4 * -7x) = 0
(2100x + 3395x2 + 1456x3 + -105x4 + -126x5) = 0

Solving
2100x + 3395x2 + 1456x3 + -105x4 + -126x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(300 + 485x + 208x2 + -15x3 + -18x4) = 0

Ignore the factor 7.

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 '(300 + 485x + 208x2 + -15x3 + -18x4)' equal to zero and attempt to solve: Simplifying 300 + 485x + 208x2 + -15x3 + -18x4 = 0 Solving 300 + 485x + 208x2 + -15x3 + -18x4 = 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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