(9w+7)(2w-6)=0

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Solution for (9w+7)(2w-6)=0 equation:


Simplifying
(9w + 7)(2w + -6) = 0

Reorder the terms:
(7 + 9w)(2w + -6) = 0

Reorder the terms:
(7 + 9w)(-6 + 2w) = 0

Multiply (7 + 9w) * (-6 + 2w)
(7(-6 + 2w) + 9w * (-6 + 2w)) = 0
((-6 * 7 + 2w * 7) + 9w * (-6 + 2w)) = 0
((-42 + 14w) + 9w * (-6 + 2w)) = 0
(-42 + 14w + (-6 * 9w + 2w * 9w)) = 0
(-42 + 14w + (-54w + 18w2)) = 0

Combine like terms: 14w + -54w = -40w
(-42 + -40w + 18w2) = 0

Solving
-42 + -40w + 18w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -20w + 9w2) = 0

Factor a trinomial.
2((-7 + -9w)(3 + -1w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -9w)' equal to zero and attempt to solve: Simplifying -7 + -9w = 0 Solving -7 + -9w = 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 + -9w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9w = 0 + 7 -9w = 0 + 7 Combine like terms: 0 + 7 = 7 -9w = 7 Divide each side by '-9'. w = -0.7777777778 Simplifying w = -0.7777777778

Subproblem 2

Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3

Solution

w = {-0.7777777778, 3}

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