(4w-5)(5w+7)=

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Solution for (4w-5)(5w+7)= equation:


Simplifying
(4w + -5)(5w + 7) = 0

Reorder the terms:
(-5 + 4w)(5w + 7) = 0

Reorder the terms:
(-5 + 4w)(7 + 5w) = 0

Multiply (-5 + 4w) * (7 + 5w)
(-5(7 + 5w) + 4w * (7 + 5w)) = 0
((7 * -5 + 5w * -5) + 4w * (7 + 5w)) = 0
((-35 + -25w) + 4w * (7 + 5w)) = 0
(-35 + -25w + (7 * 4w + 5w * 4w)) = 0
(-35 + -25w + (28w + 20w2)) = 0

Combine like terms: -25w + 28w = 3w
(-35 + 3w + 20w2) = 0

Solving
-35 + 3w + 20w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -5w)(5 + -4w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -4w)' equal to zero and attempt to solve: Simplifying 5 + -4w = 0 Solving 5 + -4w = 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 + -4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = 0 + -5 -4w = 0 + -5 Combine like terms: 0 + -5 = -5 -4w = -5 Divide each side by '-4'. w = 1.25 Simplifying w = 1.25

Solution

w = {-1.4, 1.25}

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