2x^2-21x=-7x^2-4x-8

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Solution for 2x^2-21x=-7x^2-4x-8 equation: 


Simplifying
2x2 + -21x = -7x2 + -4x + -8

Reorder the terms:
-21x + 2x2 = -7x2 + -4x + -8

Reorder the terms:
-21x + 2x2 = -8 + -4x + -7x2

Solving
-21x + 2x2 = -8 + -4x + -7x2

Solving for variable 'x'.

Reorder the terms:
8 + -21x + 4x + 2x2 + 7x2 = -8 + -4x + -7x2 + 8 + 4x + 7x2

Combine like terms: -21x + 4x = -17x
8 + -17x + 2x2 + 7x2 = -8 + -4x + -7x2 + 8 + 4x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
8 + -17x + 9x2 = -8 + -4x + -7x2 + 8 + 4x + 7x2

Reorder the terms:
8 + -17x + 9x2 = -8 + 8 + -4x + 4x + -7x2 + 7x2

Combine like terms: -8 + 8 = 0
8 + -17x + 9x2 = 0 + -4x + 4x + -7x2 + 7x2
8 + -17x + 9x2 = -4x + 4x + -7x2 + 7x2

Combine like terms: -4x + 4x = 0
8 + -17x + 9x2 = 0 + -7x2 + 7x2
8 + -17x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
8 + -17x + 9x2 = 0

Factor a trinomial.
(8 + -9x)(1 + -1x) = 0


Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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 = {0.8888888889, 1}

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