(70+5w)(96-2w)=0

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Solution for (70+5w)(96-2w)=0 equation:


Simplifying
(70 + 5w)(96 + -2w) = 0

Multiply (70 + 5w) * (96 + -2w)
(70(96 + -2w) + 5w * (96 + -2w)) = 0
((96 * 70 + -2w * 70) + 5w * (96 + -2w)) = 0
((6720 + -140w) + 5w * (96 + -2w)) = 0
(6720 + -140w + (96 * 5w + -2w * 5w)) = 0
(6720 + -140w + (480w + -10w2)) = 0

Combine like terms: -140w + 480w = 340w
(6720 + 340w + -10w2) = 0

Solving
6720 + 340w + -10w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '10'.
10(672 + 34w + -1w2) = 0

Factor a trinomial.
10((48 + -1w)(14 + w)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(48 + -1w)' equal to zero and attempt to solve: Simplifying 48 + -1w = 0 Solving 48 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1w = 0 + -48 -1w = 0 + -48 Combine like terms: 0 + -48 = -48 -1w = -48 Divide each side by '-1'. w = 48 Simplifying w = 48

Subproblem 2

Set the factor '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14

Solution

w = {48, -14}

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