40=8-4x+3x^2

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Solution for 40=8-4x+3x^2 equation: 


Simplifying
40 = 8 + -4x + 3x2

Solving
40 = 8 + -4x + 3x2

Solving for variable 'x'.

Combine like terms: 40 + -8 = 32
32 + 4x + -3x2 = 8 + -4x + 3x2 + -8 + 4x + -3x2

Reorder the terms:
32 + 4x + -3x2 = 8 + -8 + -4x + 4x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
32 + 4x + -3x2 = 0 + -4x + 4x + 3x2 + -3x2
32 + 4x + -3x2 = -4x + 4x + 3x2 + -3x2

Combine like terms: -4x + 4x = 0
32 + 4x + -3x2 = 0 + 3x2 + -3x2
32 + 4x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
32 + 4x + -3x2 = 0

Factor a trinomial.
(4 + -1x)(8 + 3x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

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

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

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {4, -2.666666667}

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