-9x=2(3x^2+4)+10x

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Solution for -9x=2(3x^2+4)+10x equation: 


Simplifying
-9x = 2(3x2 + 4) + 10x

Reorder the terms:
-9x = 2(4 + 3x2) + 10x
-9x = (4 * 2 + 3x2 * 2) + 10x
-9x = (8 + 6x2) + 10x

Reorder the terms:
-9x = 8 + 10x + 6x2

Solving
-9x = 8 + 10x + 6x2

Solving for variable 'x'.

Reorder the terms:
-8 + -9x + -10x + -6x2 = 8 + 10x + 6x2 + -8 + -10x + -6x2

Combine like terms: -9x + -10x = -19x
-8 + -19x + -6x2 = 8 + 10x + 6x2 + -8 + -10x + -6x2

Reorder the terms:
-8 + -19x + -6x2 = 8 + -8 + 10x + -10x + 6x2 + -6x2

Combine like terms: 8 + -8 = 0
-8 + -19x + -6x2 = 0 + 10x + -10x + 6x2 + -6x2
-8 + -19x + -6x2 = 10x + -10x + 6x2 + -6x2

Combine like terms: 10x + -10x = 0
-8 + -19x + -6x2 = 0 + 6x2 + -6x2
-8 + -19x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-8 + -19x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(8 + 19x + 6x2) = 0

Factor a trinomial.
-1((8 + 3x)(1 + 2x)) = 0

Ignore the factor -1.

Subproblem 1
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

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-2.666666667, -0.5}

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