4(2x^2+x)-6(x^2-7)=

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Solution for 4(2x^2+x)-6(x^2-7)= equation: 


Simplifying
4(2x2 + x) + -6(x2 + -7) = 0

Reorder the terms:
4(x + 2x2) + -6(x2 + -7) = 0
(x * 4 + 2x2 * 4) + -6(x2 + -7) = 0
(4x + 8x2) + -6(x2 + -7) = 0

Reorder the terms:
4x + 8x2 + -6(-7 + x2) = 0
4x + 8x2 + (-7 * -6 + x2 * -6) = 0
4x + 8x2 + (42 + -6x2) = 0

Reorder the terms:
42 + 4x + 8x2 + -6x2 = 0

Combine like terms: 8x2 + -6x2 = 2x2
42 + 4x + 2x2 = 0

Solving
42 + 4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + 2x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(21 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
21 + 2x + x2 = 0

Solving
21 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + 2x + -21 + x2 = 0 + -21

Reorder the terms:
21 + -21 + 2x + x2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2x + x2 = 0 + -21
2x + x2 = 0 + -21

Combine like terms: 0 + -21 = -21
2x + x2 = -21

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -21 + 1

Reorder the terms:
1 + 2x + x2 = -21 + 1

Combine like terms: -21 + 1 = -20
1 + 2x + x2 = -20

Factor a perfect square on the left side:
(x + 1)(x + 1) = -20

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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