2x^2-22=-7x^2-5x-8

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Solution for 2x^2-22=-7x^2-5x-8 equation: 


Simplifying
2x2 + -22 = -7x2 + -5x + -8

Reorder the terms:
-22 + 2x2 = -7x2 + -5x + -8

Reorder the terms:
-22 + 2x2 = -8 + -5x + -7x2

Solving
-22 + 2x2 = -8 + -5x + -7x2

Solving for variable 'x'.

Reorder the terms:
-22 + 8 + 5x + 2x2 + 7x2 = -8 + -5x + -7x2 + 8 + 5x + 7x2

Combine like terms: -22 + 8 = -14
-14 + 5x + 2x2 + 7x2 = -8 + -5x + -7x2 + 8 + 5x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
-14 + 5x + 9x2 = -8 + -5x + -7x2 + 8 + 5x + 7x2

Reorder the terms:
-14 + 5x + 9x2 = -8 + 8 + -5x + 5x + -7x2 + 7x2

Combine like terms: -8 + 8 = 0
-14 + 5x + 9x2 = 0 + -5x + 5x + -7x2 + 7x2
-14 + 5x + 9x2 = -5x + 5x + -7x2 + 7x2

Combine like terms: -5x + 5x = 0
-14 + 5x + 9x2 = 0 + -7x2 + 7x2
-14 + 5x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-14 + 5x + 9x2 = 0

Factor a trinomial.
(-14 + -9x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-14 + -9x)' equal to zero and attempt to solve:

Simplifying
-14 + -9x = 0

Solving
-14 + -9x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -9x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -9x = 0 + 14
-9x = 0 + 14

Combine like terms: 0 + 14 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

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 = {-1.555555556, 1}

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