7x^2-15x+6=4

Solution for 7x^2-15x+6=4 equation:

Simplifying
7x2 + -15x + 6 = 4

Reorder the terms:
6 + -15x + 7x2 = 4

Solving
6 + -15x + 7x2 = 4

Solving for variable 'x'.

Reorder the terms:
6 + -4 + -15x + 7x2 = 4 + -4

Combine like terms: 6 + -4 = 2
2 + -15x + 7x2 = 4 + -4

Combine like terms: 4 + -4 = 0
2 + -15x + 7x2 = 0

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

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

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
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 = {0.1428571429, 2}