5x+5=(30(x*x))+15x+5

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Solution for 5x+5=(30(x*x))+15x+5 equation: 


Simplifying
5x + 5 = (30(x * x)) + 15x + 5

Reorder the terms:
5 + 5x = (30(x * x)) + 15x + 5

Multiply x * x
5 + 5x = (30(x2)) + 15x + 5

Reorder the terms:
5 + 5x = 5 + 15x + (30x2)

Add '-5' to each side of the equation.
5 + -5 + 5x = 5 + 15x + -5 + (30x2)

Combine like terms: 5 + -5 = 0
0 + 5x = 5 + 15x + -5 + (30x2)
5x = 5 + 15x + -5 + (30x2)

Reorder the terms:
5x = 5 + -5 + 15x + (30x2)

Combine like terms: 5 + -5 = 0
5x = 0 + 15x + (30x2)
5x = 15x + (30x2)

Solving
5x = 15x + (30x2)

Solving for variable 'x'.

Combine like terms: 5x + -15x = -10x
-10x + (-30x2) = 15x + (30x2) + -15x + (-30x2)

Reorder the terms:
-10x + (-30x2) = 15x + -15x + (30x2) + (-30x2)

Combine like terms: 15x + -15x = 0
-10x + (-30x2) = 0 + (30x2) + (-30x2)
-10x + (-30x2) = (30x2) + (-30x2)

Combine like terms: (30x2) + (-30x2) = 0
-10x + (-30x2) = 0

Factor out the Greatest Common Factor (GCF), '-10x'.
-10x(1 + (3x)) = 0

Ignore the factor -10.

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 '(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, -0.3333333333}

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