400=3x^2+8x+20

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Solution for 400=3x^2+8x+20 equation: 


Simplifying
400 = 3x2 + 8x + 20

Reorder the terms:
400 = 20 + 8x + 3x2

Solving
400 = 20 + 8x + 3x2

Solving for variable 'x'.

Combine like terms: 400 + -20 = 380
380 + -8x + -3x2 = 20 + 8x + 3x2 + -20 + -8x + -3x2

Reorder the terms:
380 + -8x + -3x2 = 20 + -20 + 8x + -8x + 3x2 + -3x2

Combine like terms: 20 + -20 = 0
380 + -8x + -3x2 = 0 + 8x + -8x + 3x2 + -3x2
380 + -8x + -3x2 = 8x + -8x + 3x2 + -3x2

Combine like terms: 8x + -8x = 0
380 + -8x + -3x2 = 0 + 3x2 + -3x2
380 + -8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
380 + -8x + -3x2 = 0

Factor a trinomial.
(10 + -1x)(38 + 3x) = 0


Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

Subproblem 2
Set the factor '(38 + 3x)' equal to zero and attempt to solve:

Simplifying
38 + 3x = 0

Solving
38 + 3x = 0

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

Add '-38' to each side of the equation.
38 + -38 + 3x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 3x = 0 + -38
3x = 0 + -38

Combine like terms: 0 + -38 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667
Solution
x = {10, -12.66666667}

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