x(5x+7)=6

Solution for x(5x+7)=6 equation:

Simplifying
x(5x + 7) = 6

Reorder the terms:
x(7 + 5x) = 6
(7 * x + 5x * x) = 6
(7x + 5x2) = 6

Solving
7x + 5x2 = 6

Solving for variable 'x'.

Reorder the terms:
-6 + 7x + 5x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 7x + 5x2 = 0

Factor a trinomial.
(-2 + -1x)(3 + -5x) = 0

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 '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-2, 0.6}