12x^2+4x-5=(6x+5)

Solution for 12x^2+4x-5=(6x+5) equation:

Simplifying
12x2 + 4x + -5 = (6x + 5)

Reorder the terms:
-5 + 4x + 12x2 = (6x + 5)

Reorder the terms:
-5 + 4x + 12x2 = (5 + 6x)

Remove parenthesis around (5 + 6x)
-5 + 4x + 12x2 = 5 + 6x

Solving
-5 + 4x + 12x2 = 5 + 6x

Solving for variable 'x'.

Reorder the terms:
-5 + -5 + 4x + -6x + 12x2 = 5 + 6x + -5 + -6x

Combine like terms: -5 + -5 = -10
-10 + 4x + -6x + 12x2 = 5 + 6x + -5 + -6x

Combine like terms: 4x + -6x = -2x
-10 + -2x + 12x2 = 5 + 6x + -5 + -6x

Reorder the terms:
-10 + -2x + 12x2 = 5 + -5 + 6x + -6x

Combine like terms: 5 + -5 = 0
-10 + -2x + 12x2 = 0 + 6x + -6x
-10 + -2x + 12x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -2x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -1x + 6x2) = 0

Factor a trinomial.
2((-5 + -6x)(1 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 0 + 5

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

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

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.8333333333, 1}