3x^2+40x+20=10x-28

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Solution for 3x^2+40x+20=10x-28 equation: 


Simplifying
3x2 + 40x + 20 = 10x + -28

Reorder the terms:
20 + 40x + 3x2 = 10x + -28

Reorder the terms:
20 + 40x + 3x2 = -28 + 10x

Solving
20 + 40x + 3x2 = -28 + 10x

Solving for variable 'x'.

Reorder the terms:
20 + 28 + 40x + -10x + 3x2 = -28 + 10x + 28 + -10x

Combine like terms: 20 + 28 = 48
48 + 40x + -10x + 3x2 = -28 + 10x + 28 + -10x

Combine like terms: 40x + -10x = 30x
48 + 30x + 3x2 = -28 + 10x + 28 + -10x

Reorder the terms:
48 + 30x + 3x2 = -28 + 28 + 10x + -10x

Combine like terms: -28 + 28 = 0
48 + 30x + 3x2 = 0 + 10x + -10x
48 + 30x + 3x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
48 + 30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + 10x + x2) = 0

Factor a trinomial.
3((8 + x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-8, -2}

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