3(x^2+2x-6)+7x+8=0

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Solution for 3(x^2+2x-6)+7x+8=0 equation: 


Simplifying
3(x2 + 2x + -6) + 7x + 8 = 0

Reorder the terms:
3(-6 + 2x + x2) + 7x + 8 = 0
(-6 * 3 + 2x * 3 + x2 * 3) + 7x + 8 = 0
(-18 + 6x + 3x2) + 7x + 8 = 0

Reorder the terms:
-18 + 8 + 6x + 7x + 3x2 = 0

Combine like terms: -18 + 8 = -10
-10 + 6x + 7x + 3x2 = 0

Combine like terms: 6x + 7x = 13x
-10 + 13x + 3x2 = 0

Solving
-10 + 13x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
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
Solution
x = {-5, 0.6666666667}

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