12x^2+40x-7=(6x-1)

Solution for 12x^2+40x-7=(6x-1) equation:

Simplifying
12x2 + 40x + -7 = (6x + -1)

Reorder the terms:
-7 + 40x + 12x2 = (6x + -1)

Reorder the terms:
-7 + 40x + 12x2 = (-1 + 6x)

Remove parenthesis around (-1 + 6x)
-7 + 40x + 12x2 = -1 + 6x

Solving
-7 + 40x + 12x2 = -1 + 6x

Solving for variable 'x'.

Reorder the terms:
-7 + 1 + 40x + -6x + 12x2 = -1 + 6x + 1 + -6x

Combine like terms: -7 + 1 = -6
-6 + 40x + -6x + 12x2 = -1 + 6x + 1 + -6x

Combine like terms: 40x + -6x = 34x
-6 + 34x + 12x2 = -1 + 6x + 1 + -6x

Reorder the terms:
-6 + 34x + 12x2 = -1 + 1 + 6x + -6x

Combine like terms: -1 + 1 = 0
-6 + 34x + 12x2 = 0 + 6x + -6x
-6 + 34x + 12x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + 34x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 17x + 6x2) = 0

Factor a trinomial.
2((-3 + -1x)(1 + -6x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {-3, 0.1666666667}