(3x^2)+18x-16=2-7x

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Solution for (3x^2)+18x-16=2-7x equation: 


Simplifying
(3x2) + 18x + -16 = 2 + -7x

Reorder the terms:
-16 + 18x + (3x2) = 2 + -7x

Solving
-16 + 18x + (3x2) = 2 + -7x

Solving for variable 'x'.

Reorder the terms:
-16 + -2 + 18x + 7x + (3x2) = 2 + -7x + -2 + 7x

Combine like terms: -16 + -2 = -18
-18 + 18x + 7x + (3x2) = 2 + -7x + -2 + 7x

Combine like terms: 18x + 7x = 25x
-18 + 25x + (3x2) = 2 + -7x + -2 + 7x

Reorder the terms:
-18 + 25x + (3x2) = 2 + -2 + -7x + 7x

Combine like terms: 2 + -2 = 0
-18 + 25x + (3x2) = 0 + -7x + 7x
-18 + 25x + (3x2) = -7x + 7x

Combine like terms: -7x + 7x = 0
-18 + 25x + (3x2) = 0

Factor a trinomial.
(-9 + -1x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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 = {-9, 0.6666666667}

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