4x^2+22x+10=10

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Solution for 4x^2+22x+10=10 equation: 


Simplifying
4x2 + 22x + 10 = 10

Reorder the terms:
10 + 22x + 4x2 = 10

Add '-10' to each side of the equation.
10 + 22x + -10 + 4x2 = 10 + -10

Reorder the terms:
10 + -10 + 22x + 4x2 = 10 + -10

Combine like terms: 10 + -10 = 0
0 + 22x + 4x2 = 10 + -10
22x + 4x2 = 10 + -10

Combine like terms: 10 + -10 = 0
22x + 4x2 = 0

Solving
22x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(11 + 2x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5
Solution
x = {0, -5.5}

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