3(x^2+8)-4x=9x+10

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Solution for 3(x^2+8)-4x=9x+10 equation: 


Simplifying
3(x2 + 8) + -4x = 9x + 10

Reorder the terms:
3(8 + x2) + -4x = 9x + 10
(8 * 3 + x2 * 3) + -4x = 9x + 10
(24 + 3x2) + -4x = 9x + 10

Reorder the terms:
24 + -4x + 3x2 = 9x + 10

Reorder the terms:
24 + -4x + 3x2 = 10 + 9x

Solving
24 + -4x + 3x2 = 10 + 9x

Solving for variable 'x'.

Reorder the terms:
24 + -10 + -4x + -9x + 3x2 = 10 + 9x + -10 + -9x

Combine like terms: 24 + -10 = 14
14 + -4x + -9x + 3x2 = 10 + 9x + -10 + -9x

Combine like terms: -4x + -9x = -13x
14 + -13x + 3x2 = 10 + 9x + -10 + -9x

Reorder the terms:
14 + -13x + 3x2 = 10 + -10 + 9x + -9x

Combine like terms: 10 + -10 = 0
14 + -13x + 3x2 = 0 + 9x + -9x
14 + -13x + 3x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
14 + -13x + 3x2 = 0

Factor a trinomial.
(2 + -1x)(7 + -3x) = 0


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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {2, 2.333333333}

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