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

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


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

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

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

Multiply (-6 + 4w + x) * (-7 + 6x)
(-6(-7 + 6x) + 4w * (-7 + 6x) + x(-7 + 6x)) = 0
((-7 * -6 + 6x * -6) + 4w * (-7 + 6x) + x(-7 + 6x)) = 0
((42 + -36x) + 4w * (-7 + 6x) + x(-7 + 6x)) = 0
(42 + -36x + (-7 * 4w + 6x * 4w) + x(-7 + 6x)) = 0
(42 + -36x + (-28w + 24wx) + x(-7 + 6x)) = 0
(42 + -36x + -28w + 24wx + (-7 * x + 6x * x)) = 0
(42 + -36x + -28w + 24wx + (-7x + 6x2)) = 0

Reorder the terms:
(42 + -28w + 24wx + -36x + -7x + 6x2) = 0

Combine like terms: -36x + -7x = -43x
(42 + -28w + 24wx + -43x + 6x2) = 0

Solving
42 + -28w + 24wx + -43x + 6x2 = 0

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-42' to each side of the equation.
42 + -28w + 24wx + -43x + -42 + 6x2 = 0 + -42

Reorder the terms:
42 + -42 + -28w + 24wx + -43x + 6x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -28w + 24wx + -43x + 6x2 = 0 + -42
-28w + 24wx + -43x + 6x2 = 0 + -42

Combine like terms: 0 + -42 = -42
-28w + 24wx + -43x + 6x2 = -42

Add '43x' to each side of the equation.
-28w + 24wx + -43x + 43x + 6x2 = -42 + 43x

Combine like terms: -43x + 43x = 0
-28w + 24wx + 0 + 6x2 = -42 + 43x
-28w + 24wx + 6x2 = -42 + 43x

Add '-6x2' to each side of the equation.
-28w + 24wx + 6x2 + -6x2 = -42 + 43x + -6x2

Combine like terms: 6x2 + -6x2 = 0
-28w + 24wx + 0 = -42 + 43x + -6x2
-28w + 24wx = -42 + 43x + -6x2

Reorder the terms:
42 + -28w + 24wx + -43x + 6x2 = -42 + 43x + -6x2 + 42 + -43x + 6x2

Reorder the terms:
42 + -28w + 24wx + -43x + 6x2 = -42 + 42 + 43x + -43x + -6x2 + 6x2

Combine like terms: -42 + 42 = 0
42 + -28w + 24wx + -43x + 6x2 = 0 + 43x + -43x + -6x2 + 6x2
42 + -28w + 24wx + -43x + 6x2 = 43x + -43x + -6x2 + 6x2

Combine like terms: 43x + -43x = 0
42 + -28w + 24wx + -43x + 6x2 = 0 + -6x2 + 6x2
42 + -28w + 24wx + -43x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
42 + -28w + 24wx + -43x + 6x2 = 0

The solution to this equation could not be determined.

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