70=(3+w)(w)

Solution for 70=(3+w)(w) equation:

Simplifying
70 = (3 + w)(w)

Reorder the terms for easier multiplication:
70 = w(3 + w)
70 = (3 * w + w * w)
70 = (3w + w2)

Solving
70 = 3w + w2

Solving for variable 'w'.

Reorder the terms:
70 + -3w + -1w2 = 3w + -3w + w2 + -1w2

Combine like terms: 3w + -3w = 0
70 + -3w + -1w2 = 0 + w2 + -1w2
70 + -3w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
70 + -3w + -1w2 = 0

Factor a trinomial.
(7 + -1w)(10 + w) = 0

Subproblem 1
Set the factor '(7 + -1w)' equal to zero and attempt to solve:

Simplifying
7 + -1w = 0

Solving
7 + -1w = 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 + -1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 0 + -7
-1w = 0 + -7

Combine like terms: 0 + -7 = -7
-1w = -7

Divide each side by '-1'.
w = 7

Simplifying
w = 7
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 = {7, -10}