(5w-2)(6w+4)=

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Solution for (5w-2)(6w+4)= equation:


Simplifying
(5w + -2)(6w + 4) = 0

Reorder the terms:
(-2 + 5w)(6w + 4) = 0

Reorder the terms:
(-2 + 5w)(4 + 6w) = 0

Multiply (-2 + 5w) * (4 + 6w)
(-2(4 + 6w) + 5w * (4 + 6w)) = 0
((4 * -2 + 6w * -2) + 5w * (4 + 6w)) = 0
((-8 + -12w) + 5w * (4 + 6w)) = 0
(-8 + -12w + (4 * 5w + 6w * 5w)) = 0
(-8 + -12w + (20w + 30w2)) = 0

Combine like terms: -12w + 20w = 8w
(-8 + 8w + 30w2) = 0

Solving
-8 + 8w + 30w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 4w + 15w2) = 0

Factor a trinomial.
2((-2 + -3w)(2 + -5w)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -3w)' equal to zero and attempt to solve: Simplifying -2 + -3w = 0 Solving -2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3w = 0 + 2 -3w = 0 + 2 Combine like terms: 0 + 2 = 2 -3w = 2 Divide each side by '-3'. w = -0.6666666667 Simplifying w = -0.6666666667

Subproblem 2

Set the factor '(2 + -5w)' equal to zero and attempt to solve: Simplifying 2 + -5w = 0 Solving 2 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5w = 0 + -2 -5w = 0 + -2 Combine like terms: 0 + -2 = -2 -5w = -2 Divide each side by '-5'. w = 0.4 Simplifying w = 0.4

Solution

w = {-0.6666666667, 0.4}

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