4w^2+40w+1=1

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Solution for 4w^2+40w+1=1 equation:


Simplifying
4w2 + 40w + 1 = 1

Reorder the terms:
1 + 40w + 4w2 = 1

Add '-1' to each side of the equation.
1 + 40w + -1 + 4w2 = 1 + -1

Reorder the terms:
1 + -1 + 40w + 4w2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 40w + 4w2 = 1 + -1
40w + 4w2 = 1 + -1

Combine like terms: 1 + -1 = 0
40w + 4w2 = 0

Solving
40w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4w'.
4w(10 + w) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(10 + w)' equal to zero and attempt to solve: Simplifying 10 + w = 0 Solving 10 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + w = 0 + -10 w = 0 + -10 Combine like terms: 0 + -10 = -10 w = -10 Simplifying w = -10

Solution

w = {0, -10}

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