0=3x^2-2x-40

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Solution for 0=3x^2-2x-40 equation: 


Simplifying
0 = 3x2 + -2x + -40

Reorder the terms:
0 = -40 + -2x + 3x2

Solving
0 = -40 + -2x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + 2x + -3x2 = -40 + -2x + 3x2 + 40 + 2x + -3x2

Reorder the terms:
40 + 2x + -3x2 = -40 + 40 + -2x + 2x + 3x2 + -3x2

Combine like terms: -40 + 40 = 0
40 + 2x + -3x2 = 0 + -2x + 2x + 3x2 + -3x2
40 + 2x + -3x2 = -2x + 2x + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
40 + 2x + -3x2 = 0 + 3x2 + -3x2
40 + 2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
40 + 2x + -3x2 = 0

Factor a trinomial.
(4 + -1x)(10 + 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 '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 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 + 3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 0 + -10
3x = 0 + -10

Combine like terms: 0 + -10 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333
Solution
x = {4, -3.333333333}

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