(5x+7w-4)(2x-3)=

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Solution for (5x+7w-4)(2x-3)= equation: 


Simplifying
(5x + 7w + -4)(2x + -3) = 0

Reorder the terms:
(-4 + 7w + 5x)(2x + -3) = 0

Reorder the terms:
(-4 + 7w + 5x)(-3 + 2x) = 0

Multiply (-4 + 7w + 5x) * (-3 + 2x)
(-4(-3 + 2x) + 7w * (-3 + 2x) + 5x * (-3 + 2x)) = 0
((-3 * -4 + 2x * -4) + 7w * (-3 + 2x) + 5x * (-3 + 2x)) = 0
((12 + -8x) + 7w * (-3 + 2x) + 5x * (-3 + 2x)) = 0
(12 + -8x + (-3 * 7w + 2x * 7w) + 5x * (-3 + 2x)) = 0
(12 + -8x + (-21w + 14wx) + 5x * (-3 + 2x)) = 0
(12 + -8x + -21w + 14wx + (-3 * 5x + 2x * 5x)) = 0
(12 + -8x + -21w + 14wx + (-15x + 10x2)) = 0

Reorder the terms:
(12 + -21w + 14wx + -8x + -15x + 10x2) = 0

Combine like terms: -8x + -15x = -23x
(12 + -21w + 14wx + -23x + 10x2) = 0

Solving
12 + -21w + 14wx + -23x + 10x2 = 0

Solving for variable 'w'.

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

Add '-12' to each side of the equation.
12 + -21w + 14wx + -23x + -12 + 10x2 = 0 + -12

Reorder the terms:
12 + -12 + -21w + 14wx + -23x + 10x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -21w + 14wx + -23x + 10x2 = 0 + -12
-21w + 14wx + -23x + 10x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-21w + 14wx + -23x + 10x2 = -12

Add '23x' to each side of the equation.
-21w + 14wx + -23x + 23x + 10x2 = -12 + 23x

Combine like terms: -23x + 23x = 0
-21w + 14wx + 0 + 10x2 = -12 + 23x
-21w + 14wx + 10x2 = -12 + 23x

Add '-10x2' to each side of the equation.
-21w + 14wx + 10x2 + -10x2 = -12 + 23x + -10x2

Combine like terms: 10x2 + -10x2 = 0
-21w + 14wx + 0 = -12 + 23x + -10x2
-21w + 14wx = -12 + 23x + -10x2

Reorder the terms:
12 + -21w + 14wx + -23x + 10x2 = -12 + 23x + -10x2 + 12 + -23x + 10x2

Reorder the terms:
12 + -21w + 14wx + -23x + 10x2 = -12 + 12 + 23x + -23x + -10x2 + 10x2

Combine like terms: -12 + 12 = 0
12 + -21w + 14wx + -23x + 10x2 = 0 + 23x + -23x + -10x2 + 10x2
12 + -21w + 14wx + -23x + 10x2 = 23x + -23x + -10x2 + 10x2

Combine like terms: 23x + -23x = 0
12 + -21w + 14wx + -23x + 10x2 = 0 + -10x2 + 10x2
12 + -21w + 14wx + -23x + 10x2 = -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
12 + -21w + 14wx + -23x + 10x2 = 0

The solution to this equation could not be determined.

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