xsquared+224=(2x+1)(2x+1)

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Solution for xsquared+224=(2x+1)(2x+1) equation:


Simplifying
xsquared + 224 = (2x + 1)(2x + 1)

Reorder the terms:
224 + adeqrsux = (2x + 1)(2x + 1)

Reorder the terms:
224 + adeqrsux = (1 + 2x)(2x + 1)

Reorder the terms:
224 + adeqrsux = (1 + 2x)(1 + 2x)

Multiply (1 + 2x) * (1 + 2x)
224 + adeqrsux = (1(1 + 2x) + 2x * (1 + 2x))
224 + adeqrsux = ((1 * 1 + 2x * 1) + 2x * (1 + 2x))
224 + adeqrsux = ((1 + 2x) + 2x * (1 + 2x))
224 + adeqrsux = (1 + 2x + (1 * 2x + 2x * 2x))
224 + adeqrsux = (1 + 2x + (2x + 4x2))

Combine like terms: 2x + 2x = 4x
224 + adeqrsux = (1 + 4x + 4x2)

Solving
224 + adeqrsux = 1 + 4x + 4x2

Solving for variable 'a'.

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

Add '-224' to each side of the equation.
224 + -224 + adeqrsux = 1 + 4x + -224 + 4x2

Combine like terms: 224 + -224 = 0
0 + adeqrsux = 1 + 4x + -224 + 4x2
adeqrsux = 1 + 4x + -224 + 4x2

Reorder the terms:
adeqrsux = 1 + -224 + 4x + 4x2

Combine like terms: 1 + -224 = -223
adeqrsux = -223 + 4x + 4x2

Divide each side by 'deqrsux'.
a = -223d-1e-1q-1r-1s-1u-1x-1 + 4d-1e-1q-1r-1s-1u-1 + 4d-1e-1q-1r-1s-1u-1x

Simplifying
a = -223d-1e-1q-1r-1s-1u-1x-1 + 4d-1e-1q-1r-1s-1u-1 + 4d-1e-1q-1r-1s-1u-1x

Reorder the terms:
a = 4d-1e-1q-1r-1s-1u-1 + -223d-1e-1q-1r-1s-1u-1x-1 + 4d-1e-1q-1r-1s-1u-1x

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