(14x+8)(19x-6)=

Solution for (14x+8)(19x-6)= equation:

Simplifying
(14x + 8)(19x + -6) = 0

Reorder the terms:
(8 + 14x)(19x + -6) = 0

Reorder the terms:
(8 + 14x)(-6 + 19x) = 0

Multiply (8 + 14x) * (-6 + 19x)
(8(-6 + 19x) + 14x * (-6 + 19x)) = 0
((-6 * 8 + 19x * 8) + 14x * (-6 + 19x)) = 0
((-48 + 152x) + 14x * (-6 + 19x)) = 0
(-48 + 152x + (-6 * 14x + 19x * 14x)) = 0
(-48 + 152x + (-84x + 266x2)) = 0

Combine like terms: 152x + -84x = 68x
(-48 + 68x + 266x2) = 0

Solving
-48 + 68x + 266x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 34x + 133x2) = 0

Factor a trinomial.
2((-4 + -7x)(6 + -19x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 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 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Subproblem 2
Set the factor '(6 + -19x)' equal to zero and attempt to solve:

Simplifying
6 + -19x = 0

Solving
6 + -19x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -19x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -19x = 0 + -6
-19x = 0 + -6

Combine like terms: 0 + -6 = -6
-19x = -6

Divide each side by '-19'.
x = 0.3157894737

Simplifying
x = 0.3157894737
Solution
x = {-0.5714285714, 0.3157894737}