X+(3x+12)(4x-8)=180

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Solution for X+(3x+12)(4x-8)=180 equation:


Simplifying
X + (3x + 12)(4x + -8) = 180

Reorder the terms:
X + (12 + 3x)(4x + -8) = 180

Reorder the terms:
X + (12 + 3x)(-8 + 4x) = 180

Multiply (12 + 3x) * (-8 + 4x)
X + (12(-8 + 4x) + 3x * (-8 + 4x)) = 180
X + ((-8 * 12 + 4x * 12) + 3x * (-8 + 4x)) = 180
X + ((-96 + 48x) + 3x * (-8 + 4x)) = 180
X + (-96 + 48x + (-8 * 3x + 4x * 3x)) = 180
X + (-96 + 48x + (-24x + 12x2)) = 180

Combine like terms: 48x + -24x = 24x
X + (-96 + 24x + 12x2) = 180

Reorder the terms:
-96 + X + 24x + 12x2 = 180

Solving
-96 + X + 24x + 12x2 = 180

Solving for variable 'X'.

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

Add '96' to each side of the equation.
-96 + X + 24x + 96 + 12x2 = 180 + 96

Reorder the terms:
-96 + 96 + X + 24x + 12x2 = 180 + 96

Combine like terms: -96 + 96 = 0
0 + X + 24x + 12x2 = 180 + 96
X + 24x + 12x2 = 180 + 96

Combine like terms: 180 + 96 = 276
X + 24x + 12x2 = 276

Add '-24x' to each side of the equation.
X + 24x + -24x + 12x2 = 276 + -24x

Combine like terms: 24x + -24x = 0
X + 0 + 12x2 = 276 + -24x
X + 12x2 = 276 + -24x

Add '-12x2' to each side of the equation.
X + 12x2 + -12x2 = 276 + -24x + -12x2

Combine like terms: 12x2 + -12x2 = 0
X + 0 = 276 + -24x + -12x2
X = 276 + -24x + -12x2

Simplifying
X = 276 + -24x + -12x2

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