2w^2-28w=(-98)

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Solution for 2w^2-28w=(-98) equation:


Simplifying
2w2 + -28w = (-98)

Reorder the terms:
-28w + 2w2 = (-98)
-28w + 2w2 = -98

Solving
-28w + 2w2 = -98

Solving for variable 'w'.

Reorder the terms:
98 + -28w + 2w2 = -98 + 98

Combine like terms: -98 + 98 = 0
98 + -28w + 2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -14w + w2) = 0

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

Solution

w = {7, 7}

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