2x^2-18x=-7x^2-5x-4

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Solution for 2x^2-18x=-7x^2-5x-4 equation: 


Simplifying
2x2 + -18x = -7x2 + -5x + -4

Reorder the terms:
-18x + 2x2 = -7x2 + -5x + -4

Reorder the terms:
-18x + 2x2 = -4 + -5x + -7x2

Solving
-18x + 2x2 = -4 + -5x + -7x2

Solving for variable 'x'.

Reorder the terms:
4 + -18x + 5x + 2x2 + 7x2 = -4 + -5x + -7x2 + 4 + 5x + 7x2

Combine like terms: -18x + 5x = -13x
4 + -13x + 2x2 + 7x2 = -4 + -5x + -7x2 + 4 + 5x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
4 + -13x + 9x2 = -4 + -5x + -7x2 + 4 + 5x + 7x2

Reorder the terms:
4 + -13x + 9x2 = -4 + 4 + -5x + 5x + -7x2 + 7x2

Combine like terms: -4 + 4 = 0
4 + -13x + 9x2 = 0 + -5x + 5x + -7x2 + 7x2
4 + -13x + 9x2 = -5x + 5x + -7x2 + 7x2

Combine like terms: -5x + 5x = 0
4 + -13x + 9x2 = 0 + -7x2 + 7x2
4 + -13x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
4 + -13x + 9x2 = 0

Factor a trinomial.
(4 + -9x)(1 + -1x) = 0


Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {0.4444444444, 1}

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