(4x-5w)(7x-6w)=

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Solution for (4x-5w)(7x-6w)= equation:


Simplifying
(4x + -5w)(7x + -6w) = 0

Reorder the terms:
(-5w + 4x)(7x + -6w) = 0

Reorder the terms:
(-5w + 4x)(-6w + 7x) = 0

Multiply (-5w + 4x) * (-6w + 7x)
(-5w * (-6w + 7x) + 4x * (-6w + 7x)) = 0
((-6w * -5w + 7x * -5w) + 4x * (-6w + 7x)) = 0

Reorder the terms:
((-35wx + 30w2) + 4x * (-6w + 7x)) = 0
((-35wx + 30w2) + 4x * (-6w + 7x)) = 0
(-35wx + 30w2 + (-6w * 4x + 7x * 4x)) = 0
(-35wx + 30w2 + (-24wx + 28x2)) = 0

Reorder the terms:
(-35wx + -24wx + 30w2 + 28x2) = 0

Combine like terms: -35wx + -24wx = -59wx
(-59wx + 30w2 + 28x2) = 0

Solving
-59wx + 30w2 + 28x2 = 0

Solving for variable 'w'.

Factor a trinomial.
(6w + -7x)(5w + -4x) = 0

Subproblem 1

Set the factor '(6w + -7x)' equal to zero and attempt to solve: Simplifying 6w + -7x = 0 Solving 6w + -7x = 0 Move all terms containing w to the left, all other terms to the right. Add '7x' to each side of the equation. 6w + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 6w + 0 = 0 + 7x 6w = 0 + 7x Remove the zero: 6w = 7x Divide each side by '6'. w = 1.166666667x Simplifying w = 1.166666667x

Subproblem 2

Set the factor '(5w + -4x)' equal to zero and attempt to solve: Simplifying 5w + -4x = 0 Solving 5w + -4x = 0 Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 5w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 5w + 0 = 0 + 4x 5w = 0 + 4x Remove the zero: 5w = 4x Divide each side by '5'. w = 0.8x Simplifying w = 0.8x

Solution

w = {1.166666667x, 0.8x}

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