w^2+7w+70=70

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Solution for w^2+7w+70=70 equation: 


Simplifying
w2 + 7w + 70 = 70

Reorder the terms:
70 + 7w + w2 = 70

Add '-70' to each side of the equation.
70 + 7w + -70 + w2 = 70 + -70

Reorder the terms:
70 + -70 + 7w + w2 = 70 + -70

Combine like terms: 70 + -70 = 0
0 + 7w + w2 = 70 + -70
7w + w2 = 70 + -70

Combine like terms: 70 + -70 = 0
7w + w2 = 0

Solving
7w + w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(7 + w) = 0


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 '(7 + w)' equal to zero and attempt to solve:

Simplifying
7 + w = 0

Solving
7 + w = 0

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

Add '-7' to each side of the equation.
7 + -7 + w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + w = 0 + -7
w = 0 + -7

Combine like terms: 0 + -7 = -7
w = -7

Simplifying
w = -7
Solution
w = {0, -7}

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