0=14x^2+19x-40

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Solution for 0=14x^2+19x-40 equation: 


Simplifying
0 = 14x2 + 19x + -40

Reorder the terms:
0 = -40 + 19x + 14x2

Solving
0 = -40 + 19x + 14x2

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + -19x + -14x2 = -40 + 19x + 14x2 + 40 + -19x + -14x2

Reorder the terms:
40 + -19x + -14x2 = -40 + 40 + 19x + -19x + 14x2 + -14x2

Combine like terms: -40 + 40 = 0
40 + -19x + -14x2 = 0 + 19x + -19x + 14x2 + -14x2
40 + -19x + -14x2 = 19x + -19x + 14x2 + -14x2

Combine like terms: 19x + -19x = 0
40 + -19x + -14x2 = 0 + 14x2 + -14x2
40 + -19x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
40 + -19x + -14x2 = 0

Factor a trinomial.
(8 + -7x)(5 + 2x) = 0


Subproblem 1
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 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 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {1.142857143, -2.5}

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