112=30x^2-10x+12

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Solution for 112=30x^2-10x+12 equation: 


Simplifying
112 = 30x2 + -10x + 12

Reorder the terms:
112 = 12 + -10x + 30x2

Solving
112 = 12 + -10x + 30x2

Solving for variable 'x'.

Combine like terms: 112 + -12 = 100
100 + 10x + -30x2 = 12 + -10x + 30x2 + -12 + 10x + -30x2

Reorder the terms:
100 + 10x + -30x2 = 12 + -12 + -10x + 10x + 30x2 + -30x2

Combine like terms: 12 + -12 = 0
100 + 10x + -30x2 = 0 + -10x + 10x + 30x2 + -30x2
100 + 10x + -30x2 = -10x + 10x + 30x2 + -30x2

Combine like terms: -10x + 10x = 0
100 + 10x + -30x2 = 0 + 30x2 + -30x2
100 + 10x + -30x2 = 30x2 + -30x2

Combine like terms: 30x2 + -30x2 = 0
100 + 10x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(10 + x + -3x2) = 0

Factor a trinomial.
10((2 + -1x)(5 + 3x)) = 0

Ignore the factor 10.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {2, -1.666666667}

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