40x^2+70x+30=4x^2+10x+5

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Solution for 40x^2+70x+30=4x^2+10x+5 equation: 


Simplifying
40x2 + 70x + 30 = 4x2 + 10x + 5

Reorder the terms:
30 + 70x + 40x2 = 4x2 + 10x + 5

Reorder the terms:
30 + 70x + 40x2 = 5 + 10x + 4x2

Solving
30 + 70x + 40x2 = 5 + 10x + 4x2

Solving for variable 'x'.

Reorder the terms:
30 + -5 + 70x + -10x + 40x2 + -4x2 = 5 + 10x + 4x2 + -5 + -10x + -4x2

Combine like terms: 30 + -5 = 25
25 + 70x + -10x + 40x2 + -4x2 = 5 + 10x + 4x2 + -5 + -10x + -4x2

Combine like terms: 70x + -10x = 60x
25 + 60x + 40x2 + -4x2 = 5 + 10x + 4x2 + -5 + -10x + -4x2

Combine like terms: 40x2 + -4x2 = 36x2
25 + 60x + 36x2 = 5 + 10x + 4x2 + -5 + -10x + -4x2

Reorder the terms:
25 + 60x + 36x2 = 5 + -5 + 10x + -10x + 4x2 + -4x2

Combine like terms: 5 + -5 = 0
25 + 60x + 36x2 = 0 + 10x + -10x + 4x2 + -4x2
25 + 60x + 36x2 = 10x + -10x + 4x2 + -4x2

Combine like terms: 10x + -10x = 0
25 + 60x + 36x2 = 0 + 4x2 + -4x2
25 + 60x + 36x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
25 + 60x + 36x2 = 0

Factor a trinomial.
(5 + 6x)(5 + 6x) = 0


Subproblem 1
Set the factor '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {-0.8333333333, -0.8333333333}

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