0=-5+7x+12x^2

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Solution for 0=-5+7x+12x^2 equation: 


Simplifying
0 = -5 + 7x + 12x2

Solving
0 = -5 + 7x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + 5 = 5
5 + -7x + -12x2 = -5 + 7x + 12x2 + 5 + -7x + -12x2

Reorder the terms:
5 + -7x + -12x2 = -5 + 5 + 7x + -7x + 12x2 + -12x2

Combine like terms: -5 + 5 = 0
5 + -7x + -12x2 = 0 + 7x + -7x + 12x2 + -12x2
5 + -7x + -12x2 = 7x + -7x + 12x2 + -12x2

Combine like terms: 7x + -7x = 0
5 + -7x + -12x2 = 0 + 12x2 + -12x2
5 + -7x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
5 + -7x + -12x2 = 0

Factor a trinomial.
(5 + -12x)(1 + x) = 0


Subproblem 1
Set the factor '(5 + -12x)' equal to zero and attempt to solve:

Simplifying
5 + -12x = 0

Solving
5 + -12x = 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 + -12x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -12x = 0 + -5
-12x = 0 + -5

Combine like terms: 0 + -5 = -5
-12x = -5

Divide each side by '-12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0.4166666667, -1}

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