-12+4x+3+5x^2=-1+x

Solution for -12+4x+3+5x^2=-1+x equation:

Simplifying
-12 + 4x + 3 + 5x2 = -1 + x

Reorder the terms:
-12 + 3 + 4x + 5x2 = -1 + x

Combine like terms: -12 + 3 = -9
-9 + 4x + 5x2 = -1 + x

Solving
-9 + 4x + 5x2 = -1 + x

Solving for variable 'x'.

Reorder the terms:
-9 + 1 + 4x + -1x + 5x2 = -1 + x + 1 + -1x

Combine like terms: -9 + 1 = -8
-8 + 4x + -1x + 5x2 = -1 + x + 1 + -1x

Combine like terms: 4x + -1x = 3x
-8 + 3x + 5x2 = -1 + x + 1 + -1x

Reorder the terms:
-8 + 3x + 5x2 = -1 + 1 + x + -1x

Combine like terms: -1 + 1 = 0
-8 + 3x + 5x2 = 0 + x + -1x
-8 + 3x + 5x2 = x + -1x

Combine like terms: x + -1x = 0
-8 + 3x + 5x2 = 0

Factor a trinomial.
(-8 + -5x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6
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 = {-1.6, 1}