2xsquared+14x+49=xsquared+16x+64

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Solution for 2xsquared+14x+49=xsquared+16x+64 equation:


Simplifying
2xsquared + 14x + 49 = xsquared + 16x + 64

Reorder the terms:
49 + 2adeqrsux + 14x = xsquared + 16x + 64

Reorder the terms:
49 + 2adeqrsux + 14x = 64 + adeqrsux + 16x

Solving
49 + 2adeqrsux + 14x = 64 + adeqrsux + 16x

Solving for variable 'a'.

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

Add '-1adeqrsux' to each side of the equation.
49 + 2adeqrsux + -1adeqrsux + 14x = 64 + adeqrsux + -1adeqrsux + 16x

Combine like terms: 2adeqrsux + -1adeqrsux = 1adeqrsux
49 + 1adeqrsux + 14x = 64 + adeqrsux + -1adeqrsux + 16x

Combine like terms: adeqrsux + -1adeqrsux = 0
49 + 1adeqrsux + 14x = 64 + 0 + 16x
49 + 1adeqrsux + 14x = 64 + 16x

Add '-49' to each side of the equation.
49 + 1adeqrsux + -49 + 14x = 64 + -49 + 16x

Reorder the terms:
49 + -49 + 1adeqrsux + 14x = 64 + -49 + 16x

Combine like terms: 49 + -49 = 0
0 + 1adeqrsux + 14x = 64 + -49 + 16x
1adeqrsux + 14x = 64 + -49 + 16x

Combine like terms: 64 + -49 = 15
1adeqrsux + 14x = 15 + 16x

Add '-14x' to each side of the equation.
1adeqrsux + 14x + -14x = 15 + 16x + -14x

Combine like terms: 14x + -14x = 0
1adeqrsux + 0 = 15 + 16x + -14x
1adeqrsux = 15 + 16x + -14x

Combine like terms: 16x + -14x = 2x
1adeqrsux = 15 + 2x

Divide each side by '1deqrsux'.
a = 15d-1e-1q-1r-1s-1u-1x-1 + 2d-1e-1q-1r-1s-1u-1

Simplifying
a = 15d-1e-1q-1r-1s-1u-1x-1 + 2d-1e-1q-1r-1s-1u-1

Reorder the terms:
a = 2d-1e-1q-1r-1s-1u-1 + 15d-1e-1q-1r-1s-1u-1x-1

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