2x^2-20x=-2x^2-7x-9

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Solution for 2x^2-20x=-2x^2-7x-9 equation: 


Simplifying
2x2 + -20x = -2x2 + -7x + -9

Reorder the terms:
-20x + 2x2 = -2x2 + -7x + -9

Reorder the terms:
-20x + 2x2 = -9 + -7x + -2x2

Solving
-20x + 2x2 = -9 + -7x + -2x2

Solving for variable 'x'.

Reorder the terms:
9 + -20x + 7x + 2x2 + 2x2 = -9 + -7x + -2x2 + 9 + 7x + 2x2

Combine like terms: -20x + 7x = -13x
9 + -13x + 2x2 + 2x2 = -9 + -7x + -2x2 + 9 + 7x + 2x2

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

Reorder the terms:
9 + -13x + 4x2 = -9 + 9 + -7x + 7x + -2x2 + 2x2

Combine like terms: -9 + 9 = 0
9 + -13x + 4x2 = 0 + -7x + 7x + -2x2 + 2x2
9 + -13x + 4x2 = -7x + 7x + -2x2 + 2x2

Combine like terms: -7x + 7x = 0
9 + -13x + 4x2 = 0 + -2x2 + 2x2
9 + -13x + 4x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
9 + -13x + 4x2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

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

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

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {1, 2.25}

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