(x+3)*(x-9)+5x*(x+1)-11-2x^2=-2+4x^2

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Solution for (x+3)*(x-9)+5x*(x+1)-11-2x^2=-2+4x^2 equation: 


Simplifying
(x + 3)(x + -9) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2

Reorder the terms:
(3 + x)(x + -9) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2

Reorder the terms:
(3 + x)(-9 + x) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2

Multiply (3 + x) * (-9 + x)
(3(-9 + x) + x(-9 + x)) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2
((-9 * 3 + x * 3) + x(-9 + x)) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2
((-27 + 3x) + x(-9 + x)) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2
(-27 + 3x + (-9 * x + x * x)) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2
(-27 + 3x + (-9x + x2)) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2

Combine like terms: 3x + -9x = -6x
(-27 + -6x + x2) + 5x(x + 1) + -11 + -2x2 = -2 + 4x2

Reorder the terms:
-27 + -6x + x2 + 5x(1 + x) + -11 + -2x2 = -2 + 4x2
-27 + -6x + x2 + (1 * 5x + x * 5x) + -11 + -2x2 = -2 + 4x2
-27 + -6x + x2 + (5x + 5x2) + -11 + -2x2 = -2 + 4x2

Reorder the terms:
-27 + -11 + -6x + 5x + x2 + 5x2 + -2x2 = -2 + 4x2

Combine like terms: -27 + -11 = -38
-38 + -6x + 5x + x2 + 5x2 + -2x2 = -2 + 4x2

Combine like terms: -6x + 5x = -1x
-38 + -1x + x2 + 5x2 + -2x2 = -2 + 4x2

Combine like terms: x2 + 5x2 = 6x2
-38 + -1x + 6x2 + -2x2 = -2 + 4x2

Combine like terms: 6x2 + -2x2 = 4x2
-38 + -1x + 4x2 = -2 + 4x2

Add '-4x2' to each side of the equation.
-38 + -1x + 4x2 + -4x2 = -2 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-38 + -1x + 0 = -2 + 4x2 + -4x2
-38 + -1x = -2 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-38 + -1x = -2 + 0
-38 + -1x = -2

Solving
-38 + -1x = -2

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + -1x = -2 + 38

Combine like terms: -38 + 38 = 0
0 + -1x = -2 + 38
-1x = -2 + 38

Combine like terms: -2 + 38 = 36
-1x = 36

Divide each side by '-1'.
x = -36

Simplifying
x = -36

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