6x+8x(-6x)=400

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Solution for 6x+8x(-6x)=400 equation:


Simplifying
6x + 8x(-6x) = 400

Remove parenthesis around (-6x)
6x + 8x * -6x = 400

Reorder the terms for easier multiplication:
6x + 8 * -6x * x = 400

Multiply 8 * -6
6x + -48x * x = 400

Multiply x * x
6x + -48x2 = 400

Solving
6x + -48x2 = 400

Solving for variable 'x'.

Reorder the terms:
-400 + 6x + -48x2 = 400 + -400

Combine like terms: 400 + -400 = 0
-400 + 6x + -48x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-200 + 3x + -24x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-200 + 3x + -24x2)' equal to zero and attempt to solve:

Simplifying
-200 + 3x + -24x2 = 0

Solving
-200 + 3x + -24x2 = 0

Begin completing the square.  Divide all terms by
-24 the coefficient of the squared term: 

Divide each side by '-24'.
8.333333333 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + -0.125x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + -0.125x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + -0.125x + x2 = 0 + -8.333333333
-0.125x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
-0.125x + x2 = -8.333333333

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -8.333333333 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -8.333333333 + 0.00390625

Combine like terms: -8.333333333 + 0.00390625 = -8.329427083
0.00390625 + -0.125x + x2 = -8.329427083

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -8.329427083

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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