(2*x+3)*(x-1)-(2*x+3)*(x+4)=0

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Solution for (2*x+3)*(x-1)-(2*x+3)*(x+4)=0 equation: 


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

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

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

Multiply (3 + 2x) * (-1 + x)
(3(-1 + x) + 2x * (-1 + x)) + -1(2x + 3)(x + 4) = 0
((-1 * 3 + x * 3) + 2x * (-1 + x)) + -1(2x + 3)(x + 4) = 0
((-3 + 3x) + 2x * (-1 + x)) + -1(2x + 3)(x + 4) = 0
(-3 + 3x + (-1 * 2x + x * 2x)) + -1(2x + 3)(x + 4) = 0
(-3 + 3x + (-2x + 2x2)) + -1(2x + 3)(x + 4) = 0

Combine like terms: 3x + -2x = 1x
(-3 + 1x + 2x2) + -1(2x + 3)(x + 4) = 0

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

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

Multiply (3 + 2x) * (4 + x)
-3 + 1x + 2x2 + -1(3(4 + x) + 2x * (4 + x)) = 0
-3 + 1x + 2x2 + -1((4 * 3 + x * 3) + 2x * (4 + x)) = 0
-3 + 1x + 2x2 + -1((12 + 3x) + 2x * (4 + x)) = 0
-3 + 1x + 2x2 + -1(12 + 3x + (4 * 2x + x * 2x)) = 0
-3 + 1x + 2x2 + -1(12 + 3x + (8x + 2x2)) = 0

Combine like terms: 3x + 8x = 11x
-3 + 1x + 2x2 + -1(12 + 11x + 2x2) = 0
-3 + 1x + 2x2 + (12 * -1 + 11x * -1 + 2x2 * -1) = 0
-3 + 1x + 2x2 + (-12 + -11x + -2x2) = 0

Reorder the terms:
-3 + -12 + 1x + -11x + 2x2 + -2x2 = 0

Combine like terms: -3 + -12 = -15
-15 + 1x + -11x + 2x2 + -2x2 = 0

Combine like terms: 1x + -11x = -10x
-15 + -10x + 2x2 + -2x2 = 0

Combine like terms: 2x2 + -2x2 = 0
-15 + -10x + 0 = 0
-15 + -10x = 0

Solving
-15 + -10x = 0

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + -10x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -10x = 0 + 15
-10x = 0 + 15

Combine like terms: 0 + 15 = 15
-10x = 15

Divide each side by '-10'.
x = -1.5

Simplifying
x = -1.5

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