2x-4x(71x)-912=

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Solution for 2x-4x(71x)-912= equation:


Simplifying
2x + -4x(71x) + -912 = 0

Remove parenthesis around (71x)
2x + -4x * 71x + -912 = 0

Reorder the terms for easier multiplication:
2x + -4 * 71x * x + -912 = 0

Multiply -4 * 71
2x + -284x * x + -912 = 0

Multiply x * x
2x + -284x2 + -912 = 0

Reorder the terms:
-912 + 2x + -284x2 = 0

Solving
-912 + 2x + -284x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-456 + x + -142x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-456 + x + -142x2)' equal to zero and attempt to solve:

Simplifying
-456 + x + -142x2 = 0

Solving
-456 + x + -142x2 = 0

Begin completing the square.  Divide all terms by
-142 the coefficient of the squared term: 

Divide each side by '-142'.
3.211267606 + -0.007042253521x + x2 = 0

Move the constant term to the right:

Add '-3.211267606' to each side of the equation.
3.211267606 + -0.007042253521x + -3.211267606 + x2 = 0 + -3.211267606

Reorder the terms:
3.211267606 + -3.211267606 + -0.007042253521x + x2 = 0 + -3.211267606

Combine like terms: 3.211267606 + -3.211267606 = 0.000000000
0.000000000 + -0.007042253521x + x2 = 0 + -3.211267606
-0.007042253521x + x2 = 0 + -3.211267606

Combine like terms: 0 + -3.211267606 = -3.211267606
-0.007042253521x + x2 = -3.211267606

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.007042253521x + 0.25 + x2 = -3.211267606 + 0.25

Reorder the terms:
0.25 + -0.007042253521x + x2 = -3.211267606 + 0.25

Combine like terms: -3.211267606 + 0.25 = -2.961267606
0.25 + -0.007042253521x + x2 = -2.961267606

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -2.961267606

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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