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

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


Simplifying
4x(x2 + -1x + 7) = 0

Reorder the terms:
4x(7 + -1x + x2) = 0
(7 * 4x + -1x * 4x + x2 * 4x) = 0
(28x + -4x2 + 4x3) = 0

Solving
28x + -4x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(7 + -1x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
7 + -1x + x2 = 0

Solving
7 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -1x + -7 + x2 = 0 + -7

Reorder the terms:
7 + -7 + -1x + x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x + x2 = 0 + -7
-1x + x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-1x + x2 = -7

The x term is -1x.  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.
-1x + 0.25 + x2 = -7 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -7 + 0.25

Combine like terms: -7 + 0.25 = -6.75
0.25 + -1x + x2 = -6.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -6.75

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.
Solution
x = {0}

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