(2*x-3)*(x+1)+2*(-x)*(x+1)+2*5*x=0

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Solution for (2*x-3)*(x+1)+2*(-x)*(x+1)+2*5*x=0 equation: 


Simplifying
(2x + -3)(x + 1) + 2(-1x)(x + 1) + 2 * 5x = 0

Reorder the terms:
(-3 + 2x)(x + 1) + 2(-1x)(x + 1) + 2 * 5x = 0

Reorder the terms:
(-3 + 2x)(1 + x) + 2(-1x)(x + 1) + 2 * 5x = 0

Multiply (-3 + 2x) * (1 + x)
(-3(1 + x) + 2x * (1 + x)) + 2(-1x)(x + 1) + 2 * 5x = 0
((1 * -3 + x * -3) + 2x * (1 + x)) + 2(-1x)(x + 1) + 2 * 5x = 0
((-3 + -3x) + 2x * (1 + x)) + 2(-1x)(x + 1) + 2 * 5x = 0
(-3 + -3x + (1 * 2x + x * 2x)) + 2(-1x)(x + 1) + 2 * 5x = 0
(-3 + -3x + (2x + 2x2)) + 2(-1x)(x + 1) + 2 * 5x = 0

Combine like terms: -3x + 2x = -1x
(-3 + -1x + 2x2) + 2(-1x)(x + 1) + 2 * 5x = 0

Remove parenthesis around (-1x)
-3 + -1x + 2x2 + 2 * -1x(x + 1) + 2 * 5x = 0

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

Multiply 2 * -1
-3 + -1x + 2x2 + -2x(1 + x) + 2 * 5x = 0
-3 + -1x + 2x2 + (1 * -2x + x * -2x) + 2 * 5x = 0
-3 + -1x + 2x2 + (-2x + -2x2) + 2 * 5x = 0

Multiply 2 * 5
-3 + -1x + 2x2 + -2x + -2x2 + 10x = 0

Reorder the terms:
-3 + -1x + -2x + 10x + 2x2 + -2x2 = 0

Combine like terms: -1x + -2x = -3x
-3 + -3x + 10x + 2x2 + -2x2 = 0

Combine like terms: -3x + 10x = 7x
-3 + 7x + 2x2 + -2x2 = 0

Combine like terms: 2x2 + -2x2 = 0
-3 + 7x + 0 = 0
-3 + 7x = 0

Solving
-3 + 7x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 7x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 0 + 3
7x = 0 + 3

Combine like terms: 0 + 3 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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