5x^2+4x+1=1

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Solution for 5x^2+4x+1=1 equation: 


Simplifying
5x2 + 4x + 1 = 1

Reorder the terms:
1 + 4x + 5x2 = 1

Add '-1' to each side of the equation.
1 + 4x + -1 + 5x2 = 1 + -1

Reorder the terms:
1 + -1 + 4x + 5x2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 4x + 5x2 = 1 + -1
4x + 5x2 = 1 + -1

Combine like terms: 1 + -1 = 0
4x + 5x2 = 0

Solving
4x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + 5x) = 0


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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 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 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {0, -0.8}

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