(4w+7)(2w-9)=0

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Solution for (4w+7)(2w-9)=0 equation:


Simplifying
(4w + 7)(2w + -9) = 0

Reorder the terms:
(7 + 4w)(2w + -9) = 0

Reorder the terms:
(7 + 4w)(-9 + 2w) = 0

Multiply (7 + 4w) * (-9 + 2w)
(7(-9 + 2w) + 4w * (-9 + 2w)) = 0
((-9 * 7 + 2w * 7) + 4w * (-9 + 2w)) = 0
((-63 + 14w) + 4w * (-9 + 2w)) = 0
(-63 + 14w + (-9 * 4w + 2w * 4w)) = 0
(-63 + 14w + (-36w + 8w2)) = 0

Combine like terms: 14w + -36w = -22w
(-63 + -22w + 8w2) = 0

Solving
-63 + -22w + 8w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -4w)(9 + -2w) = 0

Subproblem 1

Set the factor '(-7 + -4w)' equal to zero and attempt to solve: Simplifying -7 + -4w = 0 Solving -7 + -4w = 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 + -4w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4w = 0 + 7 -4w = 0 + 7 Combine like terms: 0 + 7 = 7 -4w = 7 Divide each side by '-4'. w = -1.75 Simplifying w = -1.75

Subproblem 2

Set the factor '(9 + -2w)' equal to zero and attempt to solve: Simplifying 9 + -2w = 0 Solving 9 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2w = 0 + -9 -2w = 0 + -9 Combine like terms: 0 + -9 = -9 -2w = -9 Divide each side by '-2'. w = 4.5 Simplifying w = 4.5

Solution

w = {-1.75, 4.5}

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