3x(x-2)-2x(5-x)-5x(x-4)=4(x-10)

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Solution for 3x(x-2)-2x(5-x)-5x(x-4)=4(x-10) equation:


Simplifying
3x(x + -2) + -2x(5 + -1x) + -5x(x + -4) = 4(x + -10)

Reorder the terms:
3x(-2 + x) + -2x(5 + -1x) + -5x(x + -4) = 4(x + -10)
(-2 * 3x + x * 3x) + -2x(5 + -1x) + -5x(x + -4) = 4(x + -10)
(-6x + 3x2) + -2x(5 + -1x) + -5x(x + -4) = 4(x + -10)
-6x + 3x2 + (5 * -2x + -1x * -2x) + -5x(x + -4) = 4(x + -10)
-6x + 3x2 + (-10x + 2x2) + -5x(x + -4) = 4(x + -10)

Reorder the terms:
-6x + 3x2 + -10x + 2x2 + -5x(-4 + x) = 4(x + -10)
-6x + 3x2 + -10x + 2x2 + (-4 * -5x + x * -5x) = 4(x + -10)
-6x + 3x2 + -10x + 2x2 + (20x + -5x2) = 4(x + -10)

Reorder the terms:
-6x + -10x + 20x + 3x2 + 2x2 + -5x2 = 4(x + -10)

Combine like terms: -6x + -10x = -16x
-16x + 20x + 3x2 + 2x2 + -5x2 = 4(x + -10)

Combine like terms: -16x + 20x = 4x
4x + 3x2 + 2x2 + -5x2 = 4(x + -10)

Combine like terms: 3x2 + 2x2 = 5x2
4x + 5x2 + -5x2 = 4(x + -10)

Combine like terms: 5x2 + -5x2 = 0
4x + 0 = 4(x + -10)
4x = 4(x + -10)

Reorder the terms:
4x = 4(-10 + x)
4x = (-10 * 4 + x * 4)
4x = (-40 + 4x)

Add '-4x' to each side of the equation.
4x + -4x = -40 + 4x + -4x

Combine like terms: 4x + -4x = 0
0 = -40 + 4x + -4x

Combine like terms: 4x + -4x = 0
0 = -40 + 0
0 = -40

Solving
0 = -40

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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