=-10+11x+6x^2

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Solution for =-10+11x+6x^2 equation: 


Simplifying
0 = -10 + 11x + 6x2

Solving
0 = -10 + 11x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 10 = 10
10 + -11x + -6x2 = -10 + 11x + 6x2 + 10 + -11x + -6x2

Reorder the terms:
10 + -11x + -6x2 = -10 + 10 + 11x + -11x + 6x2 + -6x2

Combine like terms: -10 + 10 = 0
10 + -11x + -6x2 = 0 + 11x + -11x + 6x2 + -6x2
10 + -11x + -6x2 = 11x + -11x + 6x2 + -6x2

Combine like terms: 11x + -11x = 0
10 + -11x + -6x2 = 0 + 6x2 + -6x2
10 + -11x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
10 + -11x + -6x2 = 0

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


Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {0.6666666667, -2.5}

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