6x^5(2x+7)+4x^3(2x+7)-2x^2(2x+7)=

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Solution for 6x^5(2x+7)+4x^3(2x+7)-2x^2(2x+7)= equation: 


Simplifying
6x5(2x + 7) + 4x3(2x + 7) + -2x2(2x + 7) = 0

Reorder the terms:
6x5(7 + 2x) + 4x3(2x + 7) + -2x2(2x + 7) = 0
(7 * 6x5 + 2x * 6x5) + 4x3(2x + 7) + -2x2(2x + 7) = 0
(42x5 + 12x6) + 4x3(2x + 7) + -2x2(2x + 7) = 0

Reorder the terms:
42x5 + 12x6 + 4x3(7 + 2x) + -2x2(2x + 7) = 0
42x5 + 12x6 + (7 * 4x3 + 2x * 4x3) + -2x2(2x + 7) = 0
42x5 + 12x6 + (28x3 + 8x4) + -2x2(2x + 7) = 0

Reorder the terms:
42x5 + 12x6 + 28x3 + 8x4 + -2x2(7 + 2x) = 0
42x5 + 12x6 + 28x3 + 8x4 + (7 * -2x2 + 2x * -2x2) = 0
42x5 + 12x6 + 28x3 + 8x4 + (-14x2 + -4x3) = 0

Reorder the terms:
-14x2 + 28x3 + -4x3 + 8x4 + 42x5 + 12x6 = 0

Combine like terms: 28x3 + -4x3 = 24x3
-14x2 + 24x3 + 8x4 + 42x5 + 12x6 = 0

Solving
-14x2 + 24x3 + 8x4 + 42x5 + 12x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-7 + 12x + 4x2 + 21x3 + 6x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-7 + 12x + 4x2 + 21x3 + 6x4)' equal to zero and attempt to solve:

Simplifying
-7 + 12x + 4x2 + 21x3 + 6x4 = 0

Solving
-7 + 12x + 4x2 + 21x3 + 6x4 = 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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