(x^2+5)(2x-6)-(2x)(x^2-3x-4)=

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Solution for (x^2+5)(2x-6)-(2x)(x^2-3x-4)= equation: 


Simplifying
(x2 + 5)(2x + -6) + -1(2x)(x2 + -3x + -4) = 0

Reorder the terms:
(5 + x2)(2x + -6) + -1(2x)(x2 + -3x + -4) = 0

Reorder the terms:
(5 + x2)(-6 + 2x) + -1(2x)(x2 + -3x + -4) = 0

Multiply (5 + x2) * (-6 + 2x)
(5(-6 + 2x) + x2(-6 + 2x)) + -1(2x)(x2 + -3x + -4) = 0
((-6 * 5 + 2x * 5) + x2(-6 + 2x)) + -1(2x)(x2 + -3x + -4) = 0
((-30 + 10x) + x2(-6 + 2x)) + -1(2x)(x2 + -3x + -4) = 0
(-30 + 10x + (-6 * x2 + 2x * x2)) + -1(2x)(x2 + -3x + -4) = 0
(-30 + 10x + (-6x2 + 2x3)) + -1(2x)(x2 + -3x + -4) = 0
(-30 + 10x + -6x2 + 2x3) + -1(2x)(x2 + -3x + -4) = 0

Remove parenthesis around (2x)
-30 + 10x + -6x2 + 2x3 + -1 * 2x(x2 + -3x + -4) = 0

Reorder the terms:
-30 + 10x + -6x2 + 2x3 + -1 * 2x(-4 + -3x + x2) = 0

Multiply -1 * 2
-30 + 10x + -6x2 + 2x3 + -2x(-4 + -3x + x2) = 0
-30 + 10x + -6x2 + 2x3 + (-4 * -2x + -3x * -2x + x2 * -2x) = 0
-30 + 10x + -6x2 + 2x3 + (8x + 6x2 + -2x3) = 0

Reorder the terms:
-30 + 10x + 8x + -6x2 + 6x2 + 2x3 + -2x3 = 0

Combine like terms: 10x + 8x = 18x
-30 + 18x + -6x2 + 6x2 + 2x3 + -2x3 = 0

Combine like terms: -6x2 + 6x2 = 0
-30 + 18x + 0 + 2x3 + -2x3 = 0
-30 + 18x + 2x3 + -2x3 = 0

Combine like terms: 2x3 + -2x3 = 0
-30 + 18x + 0 = 0
-30 + 18x = 0

Solving
-30 + 18x = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 18x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 18x = 0 + 30
18x = 0 + 30

Combine like terms: 0 + 30 = 30
18x = 30

Divide each side by '18'.
x = 1.666666667

Simplifying
x = 1.666666667

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