21-10x=-7+2xsquared

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Solution for 21-10x=-7+2xsquared equation:


Simplifying
21 + -10x = -7 + 2xsquared

Solving
21 + -10x = -7 + 2adeqrsux

Solving for variable 'x'.

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

Add '-2adeqrsux' to each side of the equation.
21 + -2adeqrsux + -10x = -7 + 2adeqrsux + -2adeqrsux

Combine like terms: 2adeqrsux + -2adeqrsux = 0
21 + -2adeqrsux + -10x = -7 + 0
21 + -2adeqrsux + -10x = -7

Add '-21' to each side of the equation.
21 + -2adeqrsux + -21 + -10x = -7 + -21

Reorder the terms:
21 + -21 + -2adeqrsux + -10x = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -2adeqrsux + -10x = -7 + -21
-2adeqrsux + -10x = -7 + -21

Combine like terms: -7 + -21 = -28
-2adeqrsux + -10x = -28

Reorder the terms:
28 + -2adeqrsux + -10x = -28 + 28

Combine like terms: -28 + 28 = 0
28 + -2adeqrsux + -10x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -1adeqrsux + -5x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(14 + -1adeqrsux + -5x)' equal to zero and attempt to solve: Simplifying 14 + -1adeqrsux + -5x = 0 Solving 14 + -1adeqrsux + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1adeqrsux + -14 + -5x = 0 + -14 Reorder the terms: 14 + -14 + -1adeqrsux + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1adeqrsux + -5x = 0 + -14 -1adeqrsux + -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -1adeqrsux + -5x = -14 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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