13xsquare+9(x+1)-(2x+3)(x+2)=6

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Solution for 13xsquare+9(x+1)-(2x+3)(x+2)=6 equation: 


Simplifying
13xsquare + 9(x + 1) + -1(2x + 3)(x + 2) = 6

Reorder the terms:
13aeqrsux + 9(1 + x) + -1(2x + 3)(x + 2) = 6
13aeqrsux + (1 * 9 + x * 9) + -1(2x + 3)(x + 2) = 6
13aeqrsux + (9 + 9x) + -1(2x + 3)(x + 2) = 6

Reorder the terms:
13aeqrsux + 9 + 9x + -1(3 + 2x)(x + 2) = 6

Reorder the terms:
13aeqrsux + 9 + 9x + -1(3 + 2x)(2 + x) = 6

Multiply (3 + 2x) * (2 + x)
13aeqrsux + 9 + 9x + -1(3(2 + x) + 2x * (2 + x)) = 6
13aeqrsux + 9 + 9x + -1((2 * 3 + x * 3) + 2x * (2 + x)) = 6
13aeqrsux + 9 + 9x + -1((6 + 3x) + 2x * (2 + x)) = 6
13aeqrsux + 9 + 9x + -1(6 + 3x + (2 * 2x + x * 2x)) = 6
13aeqrsux + 9 + 9x + -1(6 + 3x + (4x + 2x2)) = 6

Combine like terms: 3x + 4x = 7x
13aeqrsux + 9 + 9x + -1(6 + 7x + 2x2) = 6
13aeqrsux + 9 + 9x + (6 * -1 + 7x * -1 + 2x2 * -1) = 6
13aeqrsux + 9 + 9x + (-6 + -7x + -2x2) = 6

Reorder the terms:
9 + -6 + 13aeqrsux + 9x + -7x + -2x2 = 6

Combine like terms: 9 + -6 = 3
3 + 13aeqrsux + 9x + -7x + -2x2 = 6

Combine like terms: 9x + -7x = 2x
3 + 13aeqrsux + 2x + -2x2 = 6

Solving
3 + 13aeqrsux + 2x + -2x2 = 6

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + 13aeqrsux + 2x + -3 + -2x2 = 6 + -3

Reorder the terms:
3 + -3 + 13aeqrsux + 2x + -2x2 = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 13aeqrsux + 2x + -2x2 = 6 + -3
13aeqrsux + 2x + -2x2 = 6 + -3

Combine like terms: 6 + -3 = 3
13aeqrsux + 2x + -2x2 = 3

Add '-2x' to each side of the equation.
13aeqrsux + 2x + -2x + -2x2 = 3 + -2x

Combine like terms: 2x + -2x = 0
13aeqrsux + 0 + -2x2 = 3 + -2x
13aeqrsux + -2x2 = 3 + -2x

Add '2x2' to each side of the equation.
13aeqrsux + -2x2 + 2x2 = 3 + -2x + 2x2

Combine like terms: -2x2 + 2x2 = 0
13aeqrsux + 0 = 3 + -2x + 2x2
13aeqrsux = 3 + -2x + 2x2

Divide each side by '13eqrsux'.
a = 0.2307692308e-1q-1r-1s-1u-1x-1 + -0.1538461538e-1q-1r-1s-1u-1 + 0.1538461538e-1q-1r-1s-1u-1x

Simplifying
a = 0.2307692308e-1q-1r-1s-1u-1x-1 + -0.1538461538e-1q-1r-1s-1u-1 + 0.1538461538e-1q-1r-1s-1u-1x

Reorder the terms:
a = -0.1538461538e-1q-1r-1s-1u-1 + 0.2307692308e-1q-1r-1s-1u-1x-1 + 0.1538461538e-1q-1r-1s-1u-1x

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