63x(x)(x)(x)+105x(x)(x)+28x(x)=0

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Solution for 63x(x)(x)(x)+105x(x)(x)+28x(x)=0 equation: 


Simplifying
63x(x)(x)(x) + 105x(x)(x) + 28x(x) = 0

Multiply x * x
63x2 * x * x + 105x(x)(x) + 28x(x) = 0

Multiply x2 * x
63x3 * x + 105x(x)(x) + 28x(x) = 0

Multiply x3 * x
63x4 + 105x(x)(x) + 28x(x) = 0

Multiply x * x
63x4 + 105x2 * x + 28x(x) = 0

Multiply x2 * x
63x4 + 105x3 + 28x(x) = 0

Multiply x * x
63x4 + 105x3 + 28x2 = 0

Reorder the terms:
28x2 + 105x3 + 63x4 = 0

Solving
28x2 + 105x3 + 63x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(4 + 15x + 9x2) = 0

Factor a trinomial.
7x2((4 + 3x)(1 + 3x)) = 0

Ignore the factor 7.

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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 3
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {0, -1.333333333, -0.3333333333}

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