7x(x+9)=2x+18

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Solution for 7x(x+9)=2x+18 equation: 


Simplifying
7x(x + 9) = 2x + 18

Reorder the terms:
7x(9 + x) = 2x + 18
(9 * 7x + x * 7x) = 2x + 18
(63x + 7x2) = 2x + 18

Reorder the terms:
63x + 7x2 = 18 + 2x

Solving
63x + 7x2 = 18 + 2x

Solving for variable 'x'.

Reorder the terms:
-18 + 63x + -2x + 7x2 = 18 + 2x + -18 + -2x

Combine like terms: 63x + -2x = 61x
-18 + 61x + 7x2 = 18 + 2x + -18 + -2x

Reorder the terms:
-18 + 61x + 7x2 = 18 + -18 + 2x + -2x

Combine like terms: 18 + -18 = 0
-18 + 61x + 7x2 = 0 + 2x + -2x
-18 + 61x + 7x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 61x + 7x2 = 0

Factor a trinomial.
(-9 + -1x)(2 + -7x) = 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 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-9, 0.2857142857}

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