X+35(2x-75)(2x-20)=180

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Solution for X+35(2x-75)(2x-20)=180 equation: 


Simplifying
X + 35(2x + -75)(2x + -20) = 180

Reorder the terms:
X + 35(-75 + 2x)(2x + -20) = 180

Reorder the terms:
X + 35(-75 + 2x)(-20 + 2x) = 180

Multiply (-75 + 2x) * (-20 + 2x)
X + 35(-75(-20 + 2x) + 2x * (-20 + 2x)) = 180
X + 35((-20 * -75 + 2x * -75) + 2x * (-20 + 2x)) = 180
X + 35((1500 + -150x) + 2x * (-20 + 2x)) = 180
X + 35(1500 + -150x + (-20 * 2x + 2x * 2x)) = 180
X + 35(1500 + -150x + (-40x + 4x2)) = 180

Combine like terms: -150x + -40x = -190x
X + 35(1500 + -190x + 4x2) = 180
X + (1500 * 35 + -190x * 35 + 4x2 * 35) = 180
X + (52500 + -6650x + 140x2) = 180

Reorder the terms:
52500 + X + -6650x + 140x2 = 180

Solving
52500 + X + -6650x + 140x2 = 180

Solving for variable 'X'.

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

Add '-52500' to each side of the equation.
52500 + X + -6650x + -52500 + 140x2 = 180 + -52500

Reorder the terms:
52500 + -52500 + X + -6650x + 140x2 = 180 + -52500

Combine like terms: 52500 + -52500 = 0
0 + X + -6650x + 140x2 = 180 + -52500
X + -6650x + 140x2 = 180 + -52500

Combine like terms: 180 + -52500 = -52320
X + -6650x + 140x2 = -52320

Add '6650x' to each side of the equation.
X + -6650x + 6650x + 140x2 = -52320 + 6650x

Combine like terms: -6650x + 6650x = 0
X + 0 + 140x2 = -52320 + 6650x
X + 140x2 = -52320 + 6650x

Add '-140x2' to each side of the equation.
X + 140x2 + -140x2 = -52320 + 6650x + -140x2

Combine like terms: 140x2 + -140x2 = 0
X + 0 = -52320 + 6650x + -140x2
X = -52320 + 6650x + -140x2

Simplifying
X = -52320 + 6650x + -140x2

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