70=(2w-4)w

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Solution for 70=(2w-4)w equation:


Simplifying
70 = (2w + -4) * w

Reorder the terms:
70 = (-4 + 2w) * w

Reorder the terms for easier multiplication:
70 = w(-4 + 2w)
70 = (-4 * w + 2w * w)
70 = (-4w + 2w2)

Solving
70 = -4w + 2w2

Solving for variable 'w'.

Reorder the terms:
70 + 4w + -2w2 = -4w + 4w + 2w2 + -2w2

Combine like terms: -4w + 4w = 0
70 + 4w + -2w2 = 0 + 2w2 + -2w2
70 + 4w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
70 + 4w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + 2w + -1w2) = 0

Factor a trinomial.
2((7 + -1w)(5 + w)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(5 + w)' equal to zero and attempt to solve: Simplifying 5 + w = 0 Solving 5 + w = 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 + w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + w = 0 + -5 w = 0 + -5 Combine like terms: 0 + -5 = -5 w = -5 Simplifying w = -5

Solution

w = {7, -5}

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