5x^2+1=-22x-7

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Solution for 5x^2+1=-22x-7 equation: 


Simplifying
5x2 + 1 = -22x + -7

Reorder the terms:
1 + 5x2 = -22x + -7

Reorder the terms:
1 + 5x2 = -7 + -22x

Solving
1 + 5x2 = -7 + -22x

Solving for variable 'x'.

Reorder the terms:
1 + 7 + 22x + 5x2 = -7 + -22x + 7 + 22x

Combine like terms: 1 + 7 = 8
8 + 22x + 5x2 = -7 + -22x + 7 + 22x

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

Combine like terms: -7 + 7 = 0
8 + 22x + 5x2 = 0 + -22x + 22x
8 + 22x + 5x2 = -22x + 22x

Combine like terms: -22x + 22x = 0
8 + 22x + 5x2 = 0

Factor a trinomial.
(4 + x)(2 + 5x) = 0


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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4

Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve:

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {-4, -0.4}

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