6xsquared-17x+13=20xsquared-32

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Solution for 6xsquared-17x+13=20xsquared-32 equation:


Simplifying
6xsquared + -17x + 13 = 20xsquared + -32

Reorder the terms:
13 + 6adeqrsux + -17x = 20xsquared + -32

Reorder the terms:
13 + 6adeqrsux + -17x = -32 + 20adeqrsux

Solving
13 + 6adeqrsux + -17x = -32 + 20adeqrsux

Solving for variable 'a'.

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

Add '-20adeqrsux' to each side of the equation.
13 + 6adeqrsux + -20adeqrsux + -17x = -32 + 20adeqrsux + -20adeqrsux

Combine like terms: 6adeqrsux + -20adeqrsux = -14adeqrsux
13 + -14adeqrsux + -17x = -32 + 20adeqrsux + -20adeqrsux

Combine like terms: 20adeqrsux + -20adeqrsux = 0
13 + -14adeqrsux + -17x = -32 + 0
13 + -14adeqrsux + -17x = -32

Add '-13' to each side of the equation.
13 + -14adeqrsux + -13 + -17x = -32 + -13

Reorder the terms:
13 + -13 + -14adeqrsux + -17x = -32 + -13

Combine like terms: 13 + -13 = 0
0 + -14adeqrsux + -17x = -32 + -13
-14adeqrsux + -17x = -32 + -13

Combine like terms: -32 + -13 = -45
-14adeqrsux + -17x = -45

Add '17x' to each side of the equation.
-14adeqrsux + -17x + 17x = -45 + 17x

Combine like terms: -17x + 17x = 0
-14adeqrsux + 0 = -45 + 17x
-14adeqrsux = -45 + 17x

Divide each side by '-14deqrsux'.
a = 3.214285714d-1e-1q-1r-1s-1u-1x-1 + -1.214285714d-1e-1q-1r-1s-1u-1

Simplifying
a = 3.214285714d-1e-1q-1r-1s-1u-1x-1 + -1.214285714d-1e-1q-1r-1s-1u-1

Reorder the terms:
a = -1.214285714d-1e-1q-1r-1s-1u-1 + 3.214285714d-1e-1q-1r-1s-1u-1x-1

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