-4w^2-34w-70=0

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Solution for -4w^2-34w-70=0 equation: 


Simplifying
-4w2 + -34w + -70 = 0

Reorder the terms:
-70 + -34w + -4w2 = 0

Solving
-70 + -34w + -4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(35 + 17w + 2w2) = 0

Factor a trinomial.
-2((5 + w)(7 + 2w)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(5 + w)' equal to zero and attempt to solve:

Simplifying
5 + w = 0

Solving
5 + w = 0

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

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

Combine like terms: 5 + -5 = 0
0 + w = 0 + -5
w = 0 + -5

Combine like terms: 0 + -5 = -5
w = -5

Simplifying
w = -5

Subproblem 2
Set the factor '(7 + 2w)' equal to zero and attempt to solve:

Simplifying
7 + 2w = 0

Solving
7 + 2w = 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 + 2w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2w = 0 + -7
2w = 0 + -7

Combine like terms: 0 + -7 = -7
2w = -7

Divide each side by '2'.
w = -3.5

Simplifying
w = -3.5
Solution
w = {-5, -3.5}

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