8x^2+14=23x

Solution for 8x^2+14=23x equation:

Simplifying
8x2 + 14 = 23x

Reorder the terms:
14 + 8x2 = 23x

Solving
14 + 8x2 = 23x

Solving for variable 'x'.

Reorder the terms:
14 + -23x + 8x2 = 23x + -23x

Combine like terms: 23x + -23x = 0
14 + -23x + 8x2 = 0

Factor a trinomial.
(7 + -8x)(2 + -1x) = 0

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

Simplifying
7 + -8x = 0

Solving
7 + -8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

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

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

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.875, 2}