(6x+2)(5x-4)-30(X-1)=34x+106

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Solution for (6x+2)(5x-4)-30(X-1)=34x+106 equation: 


Simplifying
(6x + 2)(5x + -4) + -30(X + -1) = 34x + 106

Reorder the terms:
(2 + 6x)(5x + -4) + -30(X + -1) = 34x + 106

Reorder the terms:
(2 + 6x)(-4 + 5x) + -30(X + -1) = 34x + 106

Multiply (2 + 6x) * (-4 + 5x)
(2(-4 + 5x) + 6x * (-4 + 5x)) + -30(X + -1) = 34x + 106
((-4 * 2 + 5x * 2) + 6x * (-4 + 5x)) + -30(X + -1) = 34x + 106
((-8 + 10x) + 6x * (-4 + 5x)) + -30(X + -1) = 34x + 106
(-8 + 10x + (-4 * 6x + 5x * 6x)) + -30(X + -1) = 34x + 106
(-8 + 10x + (-24x + 30x2)) + -30(X + -1) = 34x + 106

Combine like terms: 10x + -24x = -14x
(-8 + -14x + 30x2) + -30(X + -1) = 34x + 106

Reorder the terms:
-8 + -14x + 30x2 + -30(-1 + X) = 34x + 106
-8 + -14x + 30x2 + (-1 * -30 + X * -30) = 34x + 106
-8 + -14x + 30x2 + (30 + -30X) = 34x + 106

Reorder the terms:
-8 + 30 + -30X + -14x + 30x2 = 34x + 106

Combine like terms: -8 + 30 = 22
22 + -30X + -14x + 30x2 = 34x + 106

Reorder the terms:
22 + -30X + -14x + 30x2 = 106 + 34x

Solving
22 + -30X + -14x + 30x2 = 106 + 34x

Solving for variable 'X'.

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

Add '-22' to each side of the equation.
22 + -30X + -14x + -22 + 30x2 = 106 + -22 + 34x

Reorder the terms:
22 + -22 + -30X + -14x + 30x2 = 106 + -22 + 34x

Combine like terms: 22 + -22 = 0
0 + -30X + -14x + 30x2 = 106 + -22 + 34x
-30X + -14x + 30x2 = 106 + -22 + 34x

Combine like terms: 106 + -22 = 84
-30X + -14x + 30x2 = 84 + 34x

Add '14x' to each side of the equation.
-30X + -14x + 14x + 30x2 = 84 + 34x + 14x

Combine like terms: -14x + 14x = 0
-30X + 0 + 30x2 = 84 + 34x + 14x
-30X + 30x2 = 84 + 34x + 14x

Combine like terms: 34x + 14x = 48x
-30X + 30x2 = 84 + 48x

Add '-30x2' to each side of the equation.
-30X + 30x2 + -30x2 = 84 + 48x + -30x2

Combine like terms: 30x2 + -30x2 = 0
-30X + 0 = 84 + 48x + -30x2
-30X = 84 + 48x + -30x2

Divide each side by '-30'.
X = -2.8 + -1.6x + x2

Simplifying
X = -2.8 + -1.6x + x2

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