2x(x-6)-11=y+3x^2

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Solution for 2x(x-6)-11=y+3x^2 equation:


Simplifying
2x(x + -6) + -11 = y + 3x2

Reorder the terms:
2x(-6 + x) + -11 = y + 3x2
(-6 * 2x + x * 2x) + -11 = y + 3x2
(-12x + 2x2) + -11 = y + 3x2

Reorder the terms:
-11 + -12x + 2x2 = y + 3x2

Reorder the terms:
-11 + -12x + 2x2 = 3x2 + y

Solving
-11 + -12x + 2x2 = 3x2 + y

Solving for variable 'x'.

Combine like terms: 2x2 + -3x2 = -1x2
-11 + -12x + -1x2 + -1y = 3x2 + y + -3x2 + -1y

Reorder the terms:
-11 + -12x + -1x2 + -1y = 3x2 + -3x2 + y + -1y

Combine like terms: 3x2 + -3x2 = 0
-11 + -12x + -1x2 + -1y = 0 + y + -1y
-11 + -12x + -1x2 + -1y = y + -1y

Combine like terms: y + -1y = 0
-11 + -12x + -1x2 + -1y = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 12x + x2 + y) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(11 + 12x + x2 + y)' equal to zero and attempt to solve: Simplifying 11 + 12x + x2 + y = 0 Solving 11 + 12x + x2 + y = 0 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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