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

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


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

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

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

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

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

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

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

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

Combine like terms: 3x + -4x = -1x
1 + -2x + x2 + (-12 + -1x + x2) + -1(2x + -3)(x + 2) = 3

Reorder the terms:
1 + -2x + x2 + -12 + -1x + x2 + -1(-3 + 2x)(x + 2) = 3

Reorder the terms:
1 + -2x + x2 + -12 + -1x + x2 + -1(-3 + 2x)(2 + x) = 3

Multiply (-3 + 2x) * (2 + x)
1 + -2x + x2 + -12 + -1x + x2 + -1(-3(2 + x) + 2x * (2 + x)) = 3
1 + -2x + x2 + -12 + -1x + x2 + -1((2 * -3 + x * -3) + 2x * (2 + x)) = 3
1 + -2x + x2 + -12 + -1x + x2 + -1((-6 + -3x) + 2x * (2 + x)) = 3
1 + -2x + x2 + -12 + -1x + x2 + -1(-6 + -3x + (2 * 2x + x * 2x)) = 3
1 + -2x + x2 + -12 + -1x + x2 + -1(-6 + -3x + (4x + 2x2)) = 3

Combine like terms: -3x + 4x = 1x
1 + -2x + x2 + -12 + -1x + x2 + -1(-6 + 1x + 2x2) = 3
1 + -2x + x2 + -12 + -1x + x2 + (-6 * -1 + 1x * -1 + 2x2 * -1) = 3
1 + -2x + x2 + -12 + -1x + x2 + (6 + -1x + -2x2) = 3

Reorder the terms:
1 + -12 + 6 + -2x + -1x + -1x + x2 + x2 + -2x2 = 3

Combine like terms: 1 + -12 = -11
-11 + 6 + -2x + -1x + -1x + x2 + x2 + -2x2 = 3

Combine like terms: -11 + 6 = -5
-5 + -2x + -1x + -1x + x2 + x2 + -2x2 = 3

Combine like terms: -2x + -1x = -3x
-5 + -3x + -1x + x2 + x2 + -2x2 = 3

Combine like terms: -3x + -1x = -4x
-5 + -4x + x2 + x2 + -2x2 = 3

Combine like terms: x2 + x2 = 2x2
-5 + -4x + 2x2 + -2x2 = 3

Combine like terms: 2x2 + -2x2 = 0
-5 + -4x + 0 = 3
-5 + -4x = 3

Solving
-5 + -4x = 3

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 3 + 5
-4x = 3 + 5

Combine like terms: 3 + 5 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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