W^2=2W+35

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Solution for W^2=2W+35 equation:


Simplifying
W2 = 2W + 35

Reorder the terms:
W2 = 35 + 2W

Solving
W2 = 35 + 2W

Solving for variable 'W'.

Reorder the terms:
-35 + -2W + W2 = 35 + 2W + -35 + -2W

Reorder the terms:
-35 + -2W + W2 = 35 + -35 + 2W + -2W

Combine like terms: 35 + -35 = 0
-35 + -2W + W2 = 0 + 2W + -2W
-35 + -2W + W2 = 2W + -2W

Combine like terms: 2W + -2W = 0
-35 + -2W + W2 = 0

Factor a trinomial.
(-5 + -1W)(7 + -1W) = 0

Subproblem 1

Set the factor '(-5 + -1W)' equal to zero and attempt to solve: Simplifying -5 + -1W = 0 Solving -5 + -1W = 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 + -1W = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1W = 0 + 5 -1W = 0 + 5 Combine like terms: 0 + 5 = 5 -1W = 5 Divide each side by '-1'. W = -5 Simplifying W = -5

Subproblem 2

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

Solution

W = {-5, 7}

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