8x^2+69x+42=2

Solution for 8x^2+69x+42=2 equation:

Simplifying
8x2 + 69x + 42 = 2

Reorder the terms:
42 + 69x + 8x2 = 2

Solving
42 + 69x + 8x2 = 2

Solving for variable 'x'.

Reorder the terms:
42 + -2 + 69x + 8x2 = 2 + -2

Combine like terms: 42 + -2 = 40
40 + 69x + 8x2 = 2 + -2

Combine like terms: 2 + -2 = 0
40 + 69x + 8x2 = 0

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

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 '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = 0 + -5
8x = 0 + -5

Combine like terms: 0 + -5 = -5
8x = -5

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {-8, -0.625}