2xsquared-x-6=(2x+y)(x-2)

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Solution for 2xsquared-x-6=(2x+y)(x-2) equation:


Simplifying
2xsquared + -1x + -6 = (2x + y)(x + -2)

Reorder the terms:
-6 + 2adeqrsux + -1x = (2x + y)(x + -2)

Reorder the terms:
-6 + 2adeqrsux + -1x = (2x + y)(-2 + x)

Multiply (2x + y) * (-2 + x)
-6 + 2adeqrsux + -1x = (2x * (-2 + x) + y(-2 + x))
-6 + 2adeqrsux + -1x = ((-2 * 2x + x * 2x) + y(-2 + x))
-6 + 2adeqrsux + -1x = ((-4x + 2x2) + y(-2 + x))
-6 + 2adeqrsux + -1x = (-4x + 2x2 + (-2 * y + x * y))

Reorder the terms:
-6 + 2adeqrsux + -1x = (-4x + 2x2 + (xy + -2y))
-6 + 2adeqrsux + -1x = (-4x + 2x2 + (xy + -2y))

Reorder the terms:
-6 + 2adeqrsux + -1x = (-4x + xy + 2x2 + -2y)
-6 + 2adeqrsux + -1x = (-4x + xy + 2x2 + -2y)

Solving
-6 + 2adeqrsux + -1x = -4x + xy + 2x2 + -2y

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 2adeqrsux + 6 + -1x = -4x + xy + 2x2 + 6 + -2y

Reorder the terms:
-6 + 6 + 2adeqrsux + -1x = -4x + xy + 2x2 + 6 + -2y

Combine like terms: -6 + 6 = 0
0 + 2adeqrsux + -1x = -4x + xy + 2x2 + 6 + -2y
2adeqrsux + -1x = -4x + xy + 2x2 + 6 + -2y

Reorder the terms:
2adeqrsux + -1x = 6 + -4x + xy + 2x2 + -2y

Add 'x' to each side of the equation.
2adeqrsux + -1x + x = 6 + -4x + xy + 2x2 + x + -2y

Combine like terms: -1x + x = 0
2adeqrsux + 0 = 6 + -4x + xy + 2x2 + x + -2y
2adeqrsux = 6 + -4x + xy + 2x2 + x + -2y

Reorder the terms:
2adeqrsux = 6 + -4x + x + xy + 2x2 + -2y

Combine like terms: -4x + x = -3x
2adeqrsux = 6 + -3x + xy + 2x2 + -2y

Divide each side by '2deqrsux'.
a = 3d-1e-1q-1r-1s-1u-1x-1 + -1.5d-1e-1q-1r-1s-1u-1 + 0.5d-1e-1q-1r-1s-1u-1y + d-1e-1q-1r-1s-1u-1x + -1d-1e-1q-1r-1s-1u-1x-1y

Simplifying
a = 3d-1e-1q-1r-1s-1u-1x-1 + -1.5d-1e-1q-1r-1s-1u-1 + 0.5d-1e-1q-1r-1s-1u-1y + d-1e-1q-1r-1s-1u-1x + -1d-1e-1q-1r-1s-1u-1x-1y

Reorder the terms:
a = -1.5d-1e-1q-1r-1s-1u-1 + 3d-1e-1q-1r-1s-1u-1x-1 + -1d-1e-1q-1r-1s-1u-1x-1y + d-1e-1q-1r-1s-1u-1x + 0.5d-1e-1q-1r-1s-1u-1y

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