2x^2-6x=-30+2x

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Solution for 2x^2-6x=-30+2x equation: 


Simplifying
2x2 + -6x = -30 + 2x

Reorder the terms:
-6x + 2x2 = -30 + 2x

Solving
-6x + 2x2 = -30 + 2x

Solving for variable 'x'.

Reorder the terms:
30 + -6x + -2x + 2x2 = -30 + 2x + 30 + -2x

Combine like terms: -6x + -2x = -8x
30 + -8x + 2x2 = -30 + 2x + 30 + -2x

Reorder the terms:
30 + -8x + 2x2 = -30 + 30 + 2x + -2x

Combine like terms: -30 + 30 = 0
30 + -8x + 2x2 = 0 + 2x + -2x
30 + -8x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
30 + -8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
15 + -4x + x2 = 0

Solving
15 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -4x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + -4x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4x + x2 = 0 + -15
-4x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
-4x + x2 = -15

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -15 + 4

Reorder the terms:
4 + -4x + x2 = -15 + 4

Combine like terms: -15 + 4 = -11
4 + -4x + x2 = -11

Factor a perfect square on the left side:
(x + -2)(x + -2) = -11

Can't calculate square root of the right side.

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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