(2x+7)(x-1)=18x

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Solution for (2x+7)(x-1)=18x equation: 


Simplifying
(2x + 7)(x + -1) = 18x

Reorder the terms:
(7 + 2x)(x + -1) = 18x

Reorder the terms:
(7 + 2x)(-1 + x) = 18x

Multiply (7 + 2x) * (-1 + x)
(7(-1 + x) + 2x * (-1 + x)) = 18x
((-1 * 7 + x * 7) + 2x * (-1 + x)) = 18x
((-7 + 7x) + 2x * (-1 + x)) = 18x
(-7 + 7x + (-1 * 2x + x * 2x)) = 18x
(-7 + 7x + (-2x + 2x2)) = 18x

Combine like terms: 7x + -2x = 5x
(-7 + 5x + 2x2) = 18x

Solving
-7 + 5x + 2x2 = 18x

Solving for variable 'x'.

Reorder the terms:
-7 + 5x + -18x + 2x2 = 18x + -18x

Combine like terms: 5x + -18x = -13x
-7 + -13x + 2x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-7 + -13x + 2x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.5, 7}

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