15w^2+56w+49=0

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Solution for 15w^2+56w+49=0 equation:


Simplifying
15w2 + 56w + 49 = 0

Reorder the terms:
49 + 56w + 15w2 = 0

Solving
49 + 56w + 15w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(7 + 3w)(7 + 5w) = 0

Subproblem 1

Set the factor '(7 + 3w)' equal to zero and attempt to solve: Simplifying 7 + 3w = 0 Solving 7 + 3w = 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 + 3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 0 + -7 3w = 0 + -7 Combine like terms: 0 + -7 = -7 3w = -7 Divide each side by '3'. w = -2.333333333 Simplifying w = -2.333333333

Subproblem 2

Set the factor '(7 + 5w)' equal to zero and attempt to solve: Simplifying 7 + 5w = 0 Solving 7 + 5w = 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 + 5w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5w = 0 + -7 5w = 0 + -7 Combine like terms: 0 + -7 = -7 5w = -7 Divide each side by '5'. w = -1.4 Simplifying w = -1.4

Solution

w = {-2.333333333, -1.4}

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