(13w+8)(5w-7)=0

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Solution for (13w+8)(5w-7)=0 equation:


Simplifying
(13w + 8)(5w + -7) = 0

Reorder the terms:
(8 + 13w)(5w + -7) = 0

Reorder the terms:
(8 + 13w)(-7 + 5w) = 0

Multiply (8 + 13w) * (-7 + 5w)
(8(-7 + 5w) + 13w * (-7 + 5w)) = 0
((-7 * 8 + 5w * 8) + 13w * (-7 + 5w)) = 0
((-56 + 40w) + 13w * (-7 + 5w)) = 0
(-56 + 40w + (-7 * 13w + 5w * 13w)) = 0
(-56 + 40w + (-91w + 65w2)) = 0

Combine like terms: 40w + -91w = -51w
(-56 + -51w + 65w2) = 0

Solving
-56 + -51w + 65w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-8 + -13w)(7 + -5w) = 0

Subproblem 1

Set the factor '(-8 + -13w)' equal to zero and attempt to solve: Simplifying -8 + -13w = 0 Solving -8 + -13w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -13w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -13w = 0 + 8 -13w = 0 + 8 Combine like terms: 0 + 8 = 8 -13w = 8 Divide each side by '-13'. w = -0.6153846154 Simplifying w = -0.6153846154

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 = {-0.6153846154, 1.4}

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