(2x+1)(2x+1)+(3x+1)(3x+1)+(8x-3)(8x-3)=(7x-2)(11x-1)

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Solution for (2x+1)(2x+1)+(3x+1)(3x+1)+(8x-3)(8x-3)=(7x-2)(11x-1) equation: 


Simplifying
(2x + 1)(2x + 1) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Reorder the terms:
(1 + 2x)(2x + 1) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Reorder the terms:
(1 + 2x)(1 + 2x) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Multiply (1 + 2x) * (1 + 2x)
(1(1 + 2x) + 2x * (1 + 2x)) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
((1 * 1 + 2x * 1) + 2x * (1 + 2x)) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
((1 + 2x) + 2x * (1 + 2x)) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
(1 + 2x + (1 * 2x + 2x * 2x)) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
(1 + 2x + (2x + 4x2)) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Combine like terms: 2x + 2x = 4x
(1 + 4x + 4x2) + (3x + 1)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Reorder the terms:
1 + 4x + 4x2 + (1 + 3x)(3x + 1) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Reorder the terms:
1 + 4x + 4x2 + (1 + 3x)(1 + 3x) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Multiply (1 + 3x) * (1 + 3x)
1 + 4x + 4x2 + (1(1 + 3x) + 3x * (1 + 3x)) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + ((1 * 1 + 3x * 1) + 3x * (1 + 3x)) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + ((1 + 3x) + 3x * (1 + 3x)) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + (1 + 3x + (1 * 3x + 3x * 3x)) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + (1 + 3x + (3x + 9x2)) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Combine like terms: 3x + 3x = 6x
1 + 4x + 4x2 + (1 + 6x + 9x2) + (8x + -3)(8x + -3) = (7x + -2)(11x + -1)

Reorder the terms:
1 + 4x + 4x2 + 1 + 6x + 9x2 + (-3 + 8x)(8x + -3) = (7x + -2)(11x + -1)

Reorder the terms:
1 + 4x + 4x2 + 1 + 6x + 9x2 + (-3 + 8x)(-3 + 8x) = (7x + -2)(11x + -1)

Multiply (-3 + 8x) * (-3 + 8x)
1 + 4x + 4x2 + 1 + 6x + 9x2 + (-3(-3 + 8x) + 8x * (-3 + 8x)) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + 1 + 6x + 9x2 + ((-3 * -3 + 8x * -3) + 8x * (-3 + 8x)) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + 1 + 6x + 9x2 + ((9 + -24x) + 8x * (-3 + 8x)) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + 1 + 6x + 9x2 + (9 + -24x + (-3 * 8x + 8x * 8x)) = (7x + -2)(11x + -1)
1 + 4x + 4x2 + 1 + 6x + 9x2 + (9 + -24x + (-24x + 64x2)) = (7x + -2)(11x + -1)

Combine like terms: -24x + -24x = -48x
1 + 4x + 4x2 + 1 + 6x + 9x2 + (9 + -48x + 64x2) = (7x + -2)(11x + -1)

Reorder the terms:
1 + 1 + 9 + 4x + 6x + -48x + 4x2 + 9x2 + 64x2 = (7x + -2)(11x + -1)

Combine like terms: 1 + 1 = 2
2 + 9 + 4x + 6x + -48x + 4x2 + 9x2 + 64x2 = (7x + -2)(11x + -1)

Combine like terms: 2 + 9 = 11
11 + 4x + 6x + -48x + 4x2 + 9x2 + 64x2 = (7x + -2)(11x + -1)

Combine like terms: 4x + 6x = 10x
11 + 10x + -48x + 4x2 + 9x2 + 64x2 = (7x + -2)(11x + -1)

Combine like terms: 10x + -48x = -38x
11 + -38x + 4x2 + 9x2 + 64x2 = (7x + -2)(11x + -1)

Combine like terms: 4x2 + 9x2 = 13x2
11 + -38x + 13x2 + 64x2 = (7x + -2)(11x + -1)

Combine like terms: 13x2 + 64x2 = 77x2
11 + -38x + 77x2 = (7x + -2)(11x + -1)

Reorder the terms:
11 + -38x + 77x2 = (-2 + 7x)(11x + -1)

Reorder the terms:
11 + -38x + 77x2 = (-2 + 7x)(-1 + 11x)

Multiply (-2 + 7x) * (-1 + 11x)
11 + -38x + 77x2 = (-2(-1 + 11x) + 7x * (-1 + 11x))
11 + -38x + 77x2 = ((-1 * -2 + 11x * -2) + 7x * (-1 + 11x))
11 + -38x + 77x2 = ((2 + -22x) + 7x * (-1 + 11x))
11 + -38x + 77x2 = (2 + -22x + (-1 * 7x + 11x * 7x))
11 + -38x + 77x2 = (2 + -22x + (-7x + 77x2))

Combine like terms: -22x + -7x = -29x
11 + -38x + 77x2 = (2 + -29x + 77x2)

Add '-77x2' to each side of the equation.
11 + -38x + 77x2 + -77x2 = 2 + -29x + 77x2 + -77x2

Combine like terms: 77x2 + -77x2 = 0
11 + -38x + 0 = 2 + -29x + 77x2 + -77x2
11 + -38x = 2 + -29x + 77x2 + -77x2

Combine like terms: 77x2 + -77x2 = 0
11 + -38x = 2 + -29x + 0
11 + -38x = 2 + -29x

Solving
11 + -38x = 2 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
11 + -38x + 29x = 2 + -29x + 29x

Combine like terms: -38x + 29x = -9x
11 + -9x = 2 + -29x + 29x

Combine like terms: -29x + 29x = 0
11 + -9x = 2 + 0
11 + -9x = 2

Add '-11' to each side of the equation.
11 + -11 + -9x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = 2 + -11
-9x = 2 + -11

Combine like terms: 2 + -11 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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