8x^2+14x=4

Solution for 8x^2+14x=4 equation:

Simplifying
8x2 + 14x = 4

Reorder the terms:
14x + 8x2 = 4

Solving
14x + 8x2 = 4

Solving for variable 'x'.

Reorder the terms:
-4 + 14x + 8x2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 14x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 7x + 4x2) = 0

Factor a trinomial.
2((-2 + -1x)(1 + -4x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x = 0 + -1

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

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

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-2, 0.25}