3(x^2-3x-4)(-2)-5(X-5)(-1)=

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Solution for 3(x^2-3x-4)(-2)-5(X-5)(-1)= equation: 


Simplifying
3(x2 + -3x + -4)(-2) + -5(X + -5)(-1) = 0

Reorder the terms:
3(-4 + -3x + x2)(-2) + -5(X + -5)(-1) = 0

Reorder the terms for easier multiplication:
3 * -2(-4 + -3x + x2) + -5(X + -5)(-1) = 0

Multiply 3 * -2
-6(-4 + -3x + x2) + -5(X + -5)(-1) = 0
(-4 * -6 + -3x * -6 + x2 * -6) + -5(X + -5)(-1) = 0
(24 + 18x + -6x2) + -5(X + -5)(-1) = 0

Reorder the terms:
24 + 18x + -6x2 + -5(-5 + X)(-1) = 0

Reorder the terms for easier multiplication:
24 + 18x + -6x2 + -5 * -1(-5 + X) = 0

Multiply -5 * -1
24 + 18x + -6x2 + 5(-5 + X) = 0
24 + 18x + -6x2 + (-5 * 5 + X * 5) = 0
24 + 18x + -6x2 + (-25 + 5X) = 0

Reorder the terms:
24 + -25 + 5X + 18x + -6x2 = 0

Combine like terms: 24 + -25 = -1
-1 + 5X + 18x + -6x2 = 0

Solving
-1 + 5X + 18x + -6x2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 5X + 18x + 1 + -6x2 = 0 + 1

Reorder the terms:
-1 + 1 + 5X + 18x + -6x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5X + 18x + -6x2 = 0 + 1
5X + 18x + -6x2 = 0 + 1

Combine like terms: 0 + 1 = 1
5X + 18x + -6x2 = 1

Add '-18x' to each side of the equation.
5X + 18x + -18x + -6x2 = 1 + -18x

Combine like terms: 18x + -18x = 0
5X + 0 + -6x2 = 1 + -18x
5X + -6x2 = 1 + -18x

Add '6x2' to each side of the equation.
5X + -6x2 + 6x2 = 1 + -18x + 6x2

Combine like terms: -6x2 + 6x2 = 0
5X + 0 = 1 + -18x + 6x2
5X = 1 + -18x + 6x2

Divide each side by '5'.
X = 0.2 + -3.6x + 1.2x2

Simplifying
X = 0.2 + -3.6x + 1.2x2

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