0=15x^2-82x+112

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Solution for 0=15x^2-82x+112 equation: 


Simplifying
0 = 15x2 + -82x + 112

Reorder the terms:
0 = 112 + -82x + 15x2

Solving
0 = 112 + -82x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + -112 = -112
-112 + 82x + -15x2 = 112 + -82x + 15x2 + -112 + 82x + -15x2

Reorder the terms:
-112 + 82x + -15x2 = 112 + -112 + -82x + 82x + 15x2 + -15x2

Combine like terms: 112 + -112 = 0
-112 + 82x + -15x2 = 0 + -82x + 82x + 15x2 + -15x2
-112 + 82x + -15x2 = -82x + 82x + 15x2 + -15x2

Combine like terms: -82x + 82x = 0
-112 + 82x + -15x2 = 0 + 15x2 + -15x2
-112 + 82x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
-112 + 82x + -15x2 = 0

Factor a trinomial.
(-14 + 5x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-14 + 5x)' equal to zero and attempt to solve:

Simplifying
-14 + 5x = 0

Solving
-14 + 5x = 0

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

Add '14' to each side of the equation.
-14 + 14 + 5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 0 + 14
5x = 0 + 14

Combine like terms: 0 + 14 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {2.8, 2.666666667}

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